Subjects -> MATHEMATICS (Total: 1013 journals)
    - APPLIED MATHEMATICS (92 journals)
    - GEOMETRY AND TOPOLOGY (23 journals)
    - MATHEMATICS (714 journals)
    - MATHEMATICS (GENERAL) (45 journals)
    - NUMERICAL ANALYSIS (26 journals)
    - PROBABILITIES AND MATH STATISTICS (113 journals)

MATHEMATICS (714 journals)            First | 1 2 3 4 | Last

Showing 201 - 400 of 538 Journals sorted alphabetically
Educação Matemática Debate     Open Access  
Edumatica : Jurnal Pendidikan Matematika     Open Access  
EduMatSains     Open Access  
Electronic Journal of Differential Equations     Open Access  
Electronic Journal of Graph Theory and Applications     Open Access   (Followers: 3)
Em Teia : Revista de Educação Matemática e Tecnológica Iberoamericana     Open Access  
Emergent Scientist     Open Access  
Energy for Sustainable Development     Hybrid Journal   (Followers: 13)
Enseñanza de las Ciencias : Revista de Investigación y Experiencias Didácticas     Open Access  
Entropy     Open Access   (Followers: 5)
ESAIM: Control Optimisation and Calculus of Variations     Open Access   (Followers: 2)
Euclid     Open Access  
European Journal of Applied Mathematics     Hybrid Journal  
European Journal of Combinatorics     Full-text available via subscription   (Followers: 3)
European Journal of Mathematics     Hybrid Journal   (Followers: 1)
European Scientific Journal     Open Access   (Followers: 1)
Examples and Counterexamples     Open Access  
Experimental Mathematics     Hybrid Journal   (Followers: 5)
Expositiones Mathematicae     Hybrid Journal   (Followers: 2)
Extracta Mathematicae     Open Access  
Facta Universitatis, Series : Mathematics and Informatics     Open Access  
Finite Fields and Their Applications     Full-text available via subscription   (Followers: 5)
Fixed Point Theory and Applications     Open Access  
Formalized Mathematics     Open Access  
Forum of Mathematics, Pi     Open Access   (Followers: 1)
Forum of Mathematics, Sigma     Open Access   (Followers: 1)
Foundations and Trends® in Econometrics     Full-text available via subscription   (Followers: 6)
Foundations and Trends® in Networking     Full-text available via subscription   (Followers: 1)
Foundations and Trends® in Stochastic Systems     Full-text available via subscription   (Followers: 1)
Foundations and Trends® in Theoretical Computer Science     Full-text available via subscription   (Followers: 1)
Foundations of Computational Mathematics     Hybrid Journal  
Fractal and Fractional     Open Access  
Fractals     Hybrid Journal   (Followers: 1)
Frontiers of Mathematics in China     Hybrid Journal  
Fuel Cells Bulletin     Full-text available via subscription   (Followers: 9)
Functional Analysis and Other Mathematics     Hybrid Journal   (Followers: 4)
Fundamental Journal of Mathematics and Applications     Open Access  
Funktsional'nyi Analiz i ego Prilozheniya     Full-text available via subscription  
Fuzzy Optimization and Decision Making     Hybrid Journal   (Followers: 8)
Game Theory     Open Access   (Followers: 2)
Games     Open Access   (Followers: 4)
Games and Economic Behavior     Hybrid Journal   (Followers: 26)
Gamm - Mitteilungen     Hybrid Journal  
GANIT : Journal of Bangladesh Mathematical Society     Open Access  
GEM - International Journal on Geomathematics     Hybrid Journal   (Followers: 1)
General Mathematics     Open Access  
Glasgow Mathematical Journal     Full-text available via subscription  
Global Journal of Mathematical Sciences     Full-text available via subscription  
Graphs and Combinatorics     Hybrid Journal   (Followers: 4)
Grey Systems : Theory and Application     Hybrid Journal  
Groups, Complexity, Cryptology     Open Access   (Followers: 2)
GSTF Journal of Mathematics, Statistics and Operations Research     Open Access   (Followers: 1)
Historia Mathematica     Full-text available via subscription  
Historical Methods: A Journal of Quantitative and Interdisciplinary History     Hybrid Journal   (Followers: 28)
IMA Journal of Applied Mathematics     Hybrid Journal  
IMA Journal of Numerical Analysis - advance access     Hybrid Journal  
ImmunoInformatics     Open Access   (Followers: 1)
Indagationes Mathematicae     Open Access  
Indian Journal of Pure and Applied Mathematics     Hybrid Journal   (Followers: 4)
Indonesian Journal of Combinatorics     Open Access  
Indonesian Journal of Science and Mathematics Education     Open Access   (Followers: 2)
Infinite Dimensional Analysis, Quantum Probability and Related Topics     Hybrid Journal   (Followers: 1)
Infinity Jurnal Matematika dan Aplikasinya     Open Access   (Followers: 4)
Information and Inference     Free  
InfoTekJar : Jurnal Nasional Informatika dan Teknologi Jaringan     Open Access  
InfraMatics     Open Access  
Insight - Non-Destructive Testing and Condition Monitoring     Full-text available via subscription   (Followers: 114)
International Electronic Journal of Algebra     Open Access  
International Journal for Numerical Methods in Engineering     Hybrid Journal   (Followers: 37)
International Journal for Numerical Methods in Fluids     Hybrid Journal   (Followers: 20)
International Journal of Advanced Mathematical Sciences     Open Access  
International Journal of Advanced Mechatronic Systems     Hybrid Journal   (Followers: 2)
International Journal of Advanced Research in Mathematics     Open Access  
International Journal of Advances in Engineering Sciences and Applied Mathematics     Hybrid Journal   (Followers: 10)
International Journal of Algebra and Computation     Hybrid Journal   (Followers: 1)
International Journal of Algebra and Statistics     Open Access   (Followers: 3)
International Journal of Applied and Computational Mathematics     Hybrid Journal  
International Journal of Applied Mathematical Research     Open Access   (Followers: 1)
International Journal of Applied Mathematics and Computer Science     Open Access   (Followers: 7)
International Journal of Applied Mechanics     Hybrid Journal   (Followers: 8)
International Journal of Applied Nonlinear Science     Hybrid Journal  
International Journal of Autonomic Computing     Hybrid Journal   (Followers: 1)
International Journal of Bifurcation and Chaos     Hybrid Journal   (Followers: 4)
International Journal of Biomathematics     Hybrid Journal   (Followers: 2)
International Journal of Computational Complexity and Intelligent Algorithms     Hybrid Journal  
International Journal of Computational Economics and Econometrics     Hybrid Journal   (Followers: 6)
International Journal of Computational Geometry and Applications     Hybrid Journal   (Followers: 2)
International Journal of Computational Intelligence and Applications     Hybrid Journal   (Followers: 2)
International Journal of Computational Methods     Hybrid Journal   (Followers: 4)
International Journal of Computer Processing Of Languages     Hybrid Journal   (Followers: 1)
International Journal of Control, Automation and Systems     Hybrid Journal   (Followers: 15)
International Journal of Dynamical Systems and Differential Equations     Hybrid Journal   (Followers: 1)
International Journal of Economics and Accounting     Hybrid Journal   (Followers: 1)
International Journal of Foundations of Computer Science     Hybrid Journal   (Followers: 3)
International Journal of Fuzzy Computation and Modelling     Hybrid Journal   (Followers: 2)
International Journal of Image and Graphics     Hybrid Journal   (Followers: 5)
International Journal of Industrial Electronics and Drives     Hybrid Journal   (Followers: 3)
International Journal of Low-Carbon Technologies     Open Access   (Followers: 1)
International Journal of Mathematical Education in Science and Technology     Hybrid Journal   (Followers: 9)
International Journal of Mathematical Modelling & Computations     Open Access   (Followers: 3)
International Journal of Mathematical Modelling and Numerical Optimisation     Hybrid Journal   (Followers: 5)
International Journal of Mathematical Sciences and Computing     Open Access  
International Journal of Mathematics     Hybrid Journal   (Followers: 4)
International Journal of Mathematics & Computation     Full-text available via subscription  
International Journal of Mathematics and Mathematical Sciences     Open Access   (Followers: 4)
International Journal of Mathematics in Operational Research     Hybrid Journal   (Followers: 2)
International Journal of Metaheuristics     Hybrid Journal   (Followers: 1)
International Journal of Modelling in Operations Management     Hybrid Journal   (Followers: 2)
International Journal of Modern Nonlinear Theory and Application     Open Access   (Followers: 1)
International Journal of Number Theory     Hybrid Journal   (Followers: 2)
International Journal of Partial Differential Equations     Open Access   (Followers: 2)
International Journal of Polymer Science     Open Access   (Followers: 25)
International Journal of Pure Mathematical Sciences     Open Access  
International Journal of Reliability, Quality and Safety Engineering     Hybrid Journal   (Followers: 14)
International Journal of Research in Undergraduate Mathematics Education     Hybrid Journal   (Followers: 5)
International Journal of Sediment Research     Full-text available via subscription   (Followers: 2)
International Journal of Shape Modeling     Hybrid Journal   (Followers: 1)
International Journal of Theoretical and Mathematical Physics     Open Access   (Followers: 13)
International Journal of Trends in Mathematics Education Research     Open Access   (Followers: 5)
International Journal of Ultra Wideband Communications and Systems     Hybrid Journal  
International Journal of Wavelets, Multiresolution and Information Processing     Hybrid Journal  
International Journal on Artificial Intelligence Tools     Hybrid Journal   (Followers: 9)
International Mathematics Research Notices     Hybrid Journal   (Followers: 1)
Internet Mathematics     Hybrid Journal   (Followers: 1)
Inventiones mathematicae     Hybrid Journal   (Followers: 3)
Inverse Problems in Science and Engineering     Hybrid Journal   (Followers: 3)
Investigations in Mathematics Learning     Hybrid Journal  
Iranian Journal of Optimization     Open Access   (Followers: 2)
Israel Journal of Mathematics     Hybrid Journal  
Ithaca : Viaggio nella Scienza     Open Access  
ITM Web of Conferences     Open Access  
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya     Full-text available via subscription  
Jahresbericht der Deutschen Mathematiker-Vereinigung     Hybrid Journal  
Japan Journal of Industrial and Applied Mathematics     Hybrid Journal  
Japanese Journal of Mathematics     Hybrid Journal  
JIPM (Jurnal Ilmiah Pendidikan Matematika)     Open Access  
JMPM : Jurnal Matematika dan Pendidikan Matematika     Open Access  
JOHME : Journal of Holistic Mathematics Education     Open Access   (Followers: 3)
Johnson Matthey Technology Review     Open Access  
Jornal Internacional de Estudos em Educação Matemática     Open Access  
Journal d'Analyse Mathématique     Hybrid Journal   (Followers: 2)
Journal de Mathématiques Pures et Appliquées     Full-text available via subscription   (Followers: 3)
Journal for Research in Mathematics Education     Full-text available via subscription   (Followers: 29)
Journal für Mathematik-Didaktik     Hybrid Journal  
Journal of Advanced Mathematics and Applications     Full-text available via subscription   (Followers: 1)
Journal of Algebra     Full-text available via subscription   (Followers: 3)
Journal of Algebra and Its Applications     Hybrid Journal   (Followers: 3)
Journal of Algebraic Combinatorics     Hybrid Journal   (Followers: 3)
Journal of Algorithms & Computational Technology     Open Access  
Journal of Applied Mathematics     Open Access   (Followers: 3)
Journal of Applied Mathematics and Computation     Open Access   (Followers: 2)
Journal of Applied Mathematics and Computing     Hybrid Journal  
Journal of Applied Mathematics, Statistics and Informatics     Open Access   (Followers: 1)
Journal of Artificial Intelligence and Data Mining     Open Access   (Followers: 10)
Journal of Classification     Hybrid Journal   (Followers: 5)
Journal of Combinatorial Designs     Hybrid Journal   (Followers: 4)
Journal of Combinatorial Optimization     Hybrid Journal   (Followers: 7)
Journal of Combinatorial Theory, Series A     Full-text available via subscription   (Followers: 5)
Journal of Combinatorial Theory, Series B     Full-text available via subscription   (Followers: 3)
Journal of Complex Analysis     Open Access   (Followers: 2)
Journal of Complex Networks     Hybrid Journal   (Followers: 1)
Journal of Complexity     Hybrid Journal   (Followers: 6)
Journal of Computational and Applied Mathematics     Hybrid Journal   (Followers: 6)
Journal of Computational Biology     Hybrid Journal   (Followers: 9)
Journal of Computational Mathematics and Data Science     Open Access  
Journal of Computational Multiphase Flows     Open Access   (Followers: 1)
Journal of Computational Physics     Hybrid Journal   (Followers: 60)
Journal of Computational Physics : X     Open Access   (Followers: 1)
Journal of Computer Engineering, System and Science (CESS)     Open Access  
Journal of Contemporary Mathematical Analysis     Hybrid Journal  
Journal of Cryptology     Hybrid Journal   (Followers: 5)
Journal of Difference Equations and Applications     Hybrid Journal  
Journal of Differential Equations     Full-text available via subscription   (Followers: 1)
Journal of Discrete Mathematics     Open Access   (Followers: 1)
Journal of Dynamics and Differential Equations     Hybrid Journal  
Journal of Engineering Mathematics     Hybrid Journal   (Followers: 2)
Journal of Evolution Equations     Hybrid Journal  
Journal of Experimental Algorithmics     Full-text available via subscription  
Journal of Flood Risk Management     Hybrid Journal   (Followers: 14)
Journal of Function Spaces     Open Access  
Journal of Functional Analysis     Full-text available via subscription   (Followers: 3)
Journal of Geochemical Exploration     Hybrid Journal   (Followers: 4)
Journal of Geological Research     Open Access   (Followers: 1)
Journal of Geovisualization and Spatial Analysis     Hybrid Journal  
Journal of Global Optimization     Hybrid Journal   (Followers: 6)
Journal of Global Research in Mathematical Archives     Open Access  
Journal of Homotopy and Related Structures     Hybrid Journal  
Journal of Honai Math     Open Access  
Journal of Humanistic Mathematics     Open Access   (Followers: 1)
Journal of Hyperbolic Differential Equations     Hybrid Journal  
Journal of Indian Council of Philosophical Research     Hybrid Journal  
Journal of Industrial Mathematics     Open Access   (Followers: 2)
Journal of Inequalities and Applications     Open Access  
Journal of Infrared, Millimeter and Terahertz Waves     Hybrid Journal   (Followers: 3)
Journal of Integrable Systems     Open Access  
Journal of Knot Theory and Its Ramifications     Hybrid Journal   (Followers: 2)
Journal of Liquid Chromatography & Related Technologies     Hybrid Journal   (Followers: 7)
Journal of Logical and Algebraic Methods in Programming     Hybrid Journal   (Followers: 1)
Journal of Manufacturing Systems     Full-text available via subscription   (Followers: 3)
Journal of Mathematical Analysis and Applications     Full-text available via subscription   (Followers: 3)

  First | 1 2 3 4 | Last

Similar Journals
Journal Cover
Journal d'Analyse Mathématique
Journal Prestige (SJR): 1.262
Citation Impact (citeScore): 1
Number of Followers: 2  
 
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 0021-7670 - ISSN (Online) 1565-8538
Published by Springer-Verlag Homepage  [2469 journals]
  • Spectral structure of the Neumann–Poincaré operator on thin
           domains in two dimensions

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      Abstract: Abstract We consider the spectral structure of the Neumann–Poincaré operators defined on the boundaries of thin domains of rectangular shape in two dimensions. We prove that as the aspect ratio of the domains tends to ∞, or equivalently, as the domains get thinner, the spectra of the Neumann–Poincaré operators are densely distributed in [−1/2, 1/2], the interval which contains the spectrum of Neumann–Poincaré operators.
      PubDate: 2022-06-03
       
  • Möbius orthogonality of sequences with maximal entropy

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      Abstract: Abstract We prove that strongly b-multiplicative functions of modulus 1 along squares are asymptotically orthogonal to the Möbius function. This provides examples of sequences having maximal entropy and satisfying this property.
      PubDate: 2022-06-03
       
  • Formation of singularities for multi-dimensional transport equations with
           nonlocal velocity

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      Abstract: Abstract This paper is concerned with a class of multi-dimensional transport equations with nonlocal velocity. It is shown that the local smooth solution cannot exist globally in time via the De Giorgi iteration technique.
      PubDate: 2022-06-03
       
  • Comparison radius and mean topological dimension: Rokhlin property,
           comparison of open sets, and subhomogeneous C-algebras

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      Abstract: Abstract Let (X, Γ) be a free minimal dynamical system, where X is a compact separable Hausdorff space and Γ is a discrete amenable group. It is shown that, if (X, Γ) has a version of Rokhlin property (uniform Rokhlin property) and if C(X) ⋊ Γ has a Cuntz comparison on open sets, then the comparison radius of the crossed product C*-algebra C(X) ⋊ Γ is at most half of the mean topological dimension of (X, Γ). These two conditions are shown to be satisfied if Γ = ℤ or if (X, Γ) is an extension of a free Cantor system and Γ has subexponential growth. The main tools being used are Cuntz comparison of diagonal elements of a subhomogeneous C*-algebra and small subgroupoids.
      PubDate: 2022-06-03
       
  • On the dimension of the k-medial axis for an arbitrary closed set

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      Abstract: Abstract We prove that the k-medial axis of an arbitrary closed set in ℝn is (n − k + 1)-rectifiable (and hence of dimension at most n − k +1). This result gives a first stratification for the medial axis of any closed set, which has been widely studied and used in pure and applied mathematics. This also answers a question proposed by Erdös [4], and leads to more further interesting investigations (see the end of the article).
      PubDate: 2022-06-03
       
  • A T1 theorem for general Calderón—Zygmund operators with comparable
           doubling weights, and optimal cancellation conditions

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      Abstract: Abstract We begin an investigation into extending the T1 theorem of David and Journé, and the corresponding optimal cancellation conditions of Stein, to more general pairs of distinct doubling weights. For example, when 0 < α < n, and σ and ω are A∞ weights satisfying the one-tailed Muckenhoupt conditions, and Kα is a smooth fractional CZ kernel, we show there exists a bounded operator Tα: L2(σ) → L2(ω) associated with Kα if and only if there is a positive constant \({\mathfrak{A}_{{K^\alpha }}}(\sigma ,\omega )\) so that $$\matrix{ \hfill {\int_{\left\ {x - {x_0}} \right\ < N} {{{\left {\int_{\varepsilon < \left\ {x - y} \right\ < N} {{K^\alpha }(x,y)d\sigma (y)} } \right }^2}d\omega (x) \le {\mathfrak{A}_{{K^\alpha }}}(\sigma ,\omega )\int_{\left\ {{x_0} - y} \right\ < N} {d\sigma (y),} } } \cr \hfill {{\rm{for}}\,{\rm{all}}\,0 < \varepsilon < N\,{\rm{and}}\,{x_0} \in {\mathbb{R}^n},} \cr } $$ where ‖y‖ ≡ max1≤k≤n ∣yk∣, along with a dual inequality. More generally this holds for measures σ and ω comparable in the sense of Coifman and Fefferman that satisfy a fractional Ask{∞/α} condition. These results are deduced from the following theorem of T1 type, namely that if σ and ω are doubling measures, comparable in the sense of Coifman and Fefferman, and satisfying one-tailed Muckenhoupt conditions, then Tα: L2(σ) → L2(ω) if and only if the dual pair of testing conditions hold, as well as a strong form of the weak boundedness property, $$\left {\int_F {\left( {{T^\alpha }{{\bf{1}}_E}} \right)d\omega } } \right \le {\cal B}{\cal J}{\cal C}{{\cal T}_{{T^\alpha }}}(\sigma ,\omega )\sqrt {{{\left {{Q_\sigma }} \right }_\sigma }{{\left {{Q_\sigma }} \right }_{\omega ,}}} \,\,\,\,{\rm{for}}\,{\rm{all}}\,{\rm{cubes}}\,Q \subset {\mathbb{R}^n},$$ where \({\cal B}{\cal J}{\cal C}{{\cal T}_{{T^\alpha }}}(\sigma ,\omega )\) is a positive constant called the bilinear cube/indicator testing constant. The comparability of measures and the bilinear cube/indicator testing condition can both be dropped if the stronger indicator/cube testing conditions are assumed.
      PubDate: 2022-06-03
       
  • On a Theorem of Wolff Revisited

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      Abstract: Abstract We study p-harmonic functions, 1 < p ≠ 2 < ∞, in ℝ + 2 = {z = x + iy: y > 0, −∞ < x < ∞} and B(0, 1) = {z: ∣z∣ < 1}. We first show for fixed p,1 < p ≠ 2 < ∞, and for all large integers N ≥ N0 that there exists a p-harmonic function on B(0, 1), V = V(reiθ), which is 2π/N periodic in the θ variable, and Lipschitz continuous on ∂B(0, 1) with Lipschitz norm ≤ cN, satisfying V(0) = 0 and \({c^{ - 1}} \le \int_{ - \pi }^\pi {V({e^{i\theta }})d\theta \le c} \) . In case 2 < p < ∞ we give a more or less explicit example of V and our work is an extension of a result of Wolff in [Wol07, Lemma 1] on ℝ + 2 to B(0, 1). Using our first result, we extend the work of Wolff in [Wol07] on the failure of Fatou type theorems for ℝ + 2 to B(0, 1) for p-harmonic functions, 1 < p ≠ 2 < ∞. Finally, we also outline the modifications needed for extending the work of Llorente, Manfredi, and Wu in [LMW05] regarding the failure of subadditivity of p-harmonic measure on ∂ℝ + 2 to ∂B(0, 1).
      PubDate: 2022-06-03
       
  • Liouville-type results for spherical symmetric linear differential
           operators with constant coefficients

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      Abstract: Abstract Let P(z) be a polynomial. We study the equation P(Δ)u = 0 as well as the inequalities P(Δ)u ≥ 0, and P(Δ)u ≥ f (u) on the whole ℝn. We prove some Liouville-type results for nonnegative solutions and for solutions having a natural growth condition at infinity.
      PubDate: 2022-06-03
       
  • On the packing dimension of Furstenberg sets

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      Abstract: Abstract We prove that if α ∈ (0, 1/2], then the packing dimension of a set E ⊂ ℝ2 for which there exists a set of lines of dimension 1 intersecting E in Hausdorff dimension ≥ α is at least 1/2 + α + c(α)for some c(α) > 0. In particular, this holds for α-Furstenberg sets, that is, sets having intersection of Hausdorff dimension ≥ ≥ with at least one line in every direction. Together with an earlier result of T. Orponen, this provides an improvement for the packing dimension of α-Furstenberg sets over the “trivial” estimate for all values of α ∈ (0, 1). The proof extends to more general families of lines, and shows that the scales at which an α-Furstenberg set resembles a set of dimension close to 1/2 + α, if they exist, are rather sparse.
      PubDate: 2022-06-03
       
  • Le poids des polynômes irréductibles à coefficients dans un
           corps fini

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      Abstract: Résumé Ce travail concerne le poids des polynômes irréductibles sur un corps fini, c’est à dire le nombre de coefficients non nuls de ces polynômes. Nous introduisons un analogue polynomial de la méthode de Vinogradov développée par Gallagher et Vaughan afin de majorer les sommes d’exponentielles associées. Cela nous permet d’une part d’étudier la répartition dans les progressions arithmétiques du poids des polynômes irréductibles et d’autre part de donner une estimation asymptotique (avec terme d’erreur) du nombre de polynômes irréductibles de degré fixé ayant un poids donné proche de la valeur moyenne.
      PubDate: 2022-06-03
       
  • Correction to “Local asymptotics for orthonormal polynomials on the unit
           circle via universality”

    • Free pre-print version: Loading...

      PubDate: 2021-12-31
      DOI: 10.1007/s11854-021-0196-x
       
  • Non-boundedness of the number of super level domains of eigenfunctions

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      Abstract: Abstract Generalizing Courant’s nodal domain theorem, the “Extended Courant property” is the statement that a linear combination of the first n eigenfunctions has at most n nodal domains. A related question is to estimate the number of connected components of the (super) level sets of a Neumann eigenfunction u. Indeed, in this case, the first eigenfunction is constant, and looking at the level sets of u amounts to looking at the nodal sets {u − a = 0}, where a is a real constant. In the first part of the paper, we prove that the Extended Courant property is false for the subequilateral triangle and for regular N-gons (N large), with the Neumann boundary condition. More precisely, we prove that there exists a Neumann eigenfunction uk of the N-gon, with labeling k, 4 ≤ k ≤ 6, such that the set {uk ≠ 1} has (N + 1) connected components. In the second part, we prove that there exists a metric g on \(\mathbb{T}^{2}\) (resp. on \(\mathbb{S}^{2}\) ), which can be chosen arbitrarily close to the flat metric (resp. round metric), and an eigenfunction u of the associated Laplace—Beltrami operator, such that the set {u ≠ 1} has infinitely many connected components. In particular, the Extended Courant property is false for these closed surfaces. These results are strongly motivated by a recent paper by Buhovsky, Logunov and Sodin. As for the positive direction, in Appendix B, we prove that the Extended Courant property is true for the isotropic quantum harmonic oscillator in ℝ2.
      PubDate: 2021-12-31
      DOI: 10.1007/s11854-021-0189-9
       
  • Sloshing, Steklov and corners: Asymptotics of sloshing eigenvalues

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      Abstract: Abstract In the present paper we develop an approach to obtain sharp spectral asymptotics for Steklov type problems on planar domains with corners. Our main focus is on the two-dimensional sloshing problem, which is a mixed Steklov—Neumann boundary value problem describing small vertical oscillations of an ideal fluid in a container or in a canal with a uniform cross-section. We prove a two-term asymptotic formula for sloshing eigenvalues. In particular, this confirms a conjecture posed by Fox and Kuttler in 1983. We also obtain similar eigenvalue asymptotics for other related mixed Steklov type problems, and discuss applications to the study of Steklov spectral asymptotics on polygons.
      PubDate: 2021-12-31
      DOI: 10.1007/s11854-021-0188-x
       
  • Oscillatory Loomis—Whitney and Projections of Sublevel Sets

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      Abstract: Abstract We consider an oscillatory integral operator with Loomis—Whitney multilinear form. The phase is real analytic in a neighborhood of the origin in ℝd and satisfies a nondegeneracy condition related to its Newton polyhedron. Maximal decay is obtained for this operator in certain cases, depending on the Newton polyhedron of the phase and the given Lebesgue exponents. Our estimates imply volumes of sublevel sets of such real analytic functions are small relative to the product of areas of projections onto coordinate hyperplanes.
      PubDate: 2021-12-31
      DOI: 10.1007/s11854-021-0190-3
       
  • Seminorms for multiple averages along polynomials and applications to
           joint ergodicity

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      Abstract: Abstract Exploiting the recent work of Tao and Ziegler on the concatenation theorem on factors, we find explicit characteristic factors for multiple averages along polynomials on systems with commuting transformations, and use them to study criteria of joint ergodicity for sequences of the form \((T_{1}^{p_{1,j}(n)}\cdots T_{d}^{p_{d,j}(n)})_{n\in\mathbb{Z}}\) , 1 ≤ j ≤ k, where T1, …, Td are commuting measure preserving transformations on a probability measure space and pi, j are integer polynomials. To be more precise, we provide a sufficient condition for such sequences to be jointly ergodic, giving also a characterization for sequences of the form \((T_{i}^{p(n)})_{n\in\mathbb{Z}}\) , 1 ≤ i ≤ d to be jointly ergodic, answering a question due to Bergelson.
      PubDate: 2021-12-31
      DOI: 10.1007/s11854-021-0186-z
       
  • Generalized eigenfunctions and eigenvalues: A unifying framework for
           Shnol-type theorems

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      Abstract: Abstract Let H be a generalized Schrödinger operator on a domain of a non-compact connected Riemannian manifold, and a generalized eigenfunction u for H: that is, u satisfies the equation Hu = λu in the weak sense but is not necessarily in L2. The problem is to find conditions on the growth of u, so that λ belongs to the spectrum of H. We unify and generalize known results on this problem. In addition, a variety of examples is provided, illustrating the different nature of the growth conditions.
      PubDate: 2021-12-31
      DOI: 10.1007/s11854-021-0191-2
       
  • Obstructions for automorphic quasiregular maps and Lattès-type
           uniformly quasiregular maps

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      Abstract: Abstract Suppose that M is a closed, connected, and oriented Riemannian n-manifold, f: ℝn → M is a quasiregular map automorphic under a discrete group Γ of Euclidean isometries, and f has finite multiplicity in a fundamental cell of Γ. We show that if Γ has a sufficiently large translation subgroup ΓT, then dim Γ ∈ {0, n − 1, n}. If f is strongly automorphic and induces a non-injective Lattès-type uniformly quasiregular map, then the same assertion holds without the assumption on the size of ΓT. Moreover, an even stronger restriction holds in the Lattès case if M is not a rational cohomology sphere.
      PubDate: 2021-12-31
      DOI: 10.1007/s11854-021-0187-y
       
  • Nonhomogeneous quasilinear elliptic problems: linear and sublinear cases

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      Abstract: Abstract We are concerned with a class of second order quasilinear elliptic equations driven by a nonhomogeneous differential operator introduced by C.A. Stuart [22] and whose study is motivated by models in Nonlinear Optics. We establish sufficient conditions for the existence of at least one or two non-negative solutions. Our analysis considers the cases when the reaction has either a sublinear or a linear growth. In the sublinear case, we also prove a nonexistence property. The proofs combine energy estimates and variational methods.
      PubDate: 2021-12-31
      DOI: 10.1007/s11854-021-0170-7
       
  • Singular integrals on C1,α regular curves in Carnot groups

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      Abstract: Abstract Let \(\mathbb{G}\) be any Carnot group. We prove that if a convolution type singular integral associated with a 1-dimensional Calderón—Zygmund kernel is L2-bounded on horizontal lines, with uniform bounds, then it is bounded in Lp, p ∈ (1, ∞), on any compact C1, α, α ∈ (0, 1], regular curve in \(\mathbb{G}\) .
      PubDate: 2021-12-31
      DOI: 10.1007/s11854-021-0194-z
       
  • Spherical means on the Heisenberg group: Stability of a maximal function
           estimate

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      Abstract: Abstract Consider the surface measure μ on a sphere in a nonvertical hyperplane on the Heisenberg group ℍn, n ≥ 2, and the convolution f * μ. Form the associated maximal function Mf = supt>0 ∣f * μt∣ generated by the automorphic dilations. We use decoupling inequalities due to Wolff and Bourgain—Demeter to prove Lp-boundedness of M in an optimal range.
      PubDate: 2021-12-14
      DOI: 10.1007/s11854-021-0171-6
       
 
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