Subjects -> MATHEMATICS (Total: 1013 journals)
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MATHEMATICS (714 journals)            First | 1 2 3 4     

Showing 601 - 538 of 538 Journals sorted alphabetically
Research in the Mathematical Sciences     Open Access  
Research Journal of Pure Algebra     Open Access   (Followers: 1)
Researches in Mathematics     Open Access  
Results in Control and Optimization     Open Access  
Results in Mathematics     Hybrid Journal  
Results in Nonlinear Analysis     Open Access  
Review of Symbolic Logic     Full-text available via subscription   (Followers: 2)
Reviews in Mathematical Physics     Hybrid Journal   (Followers: 1)
Revista Baiana de Educação Matemática     Open Access  
Revista Bases de la Ciencia     Open Access  
Revista BoEM - Boletim online de Educação Matemática     Open Access  
Revista Colombiana de Matemáticas     Open Access   (Followers: 1)
Revista de Ciencias     Open Access  
Revista de Educación Matemática     Open Access  
Revista de la Escuela de Perfeccionamiento en Investigación Operativa     Open Access  
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas     Partially Free  
Revista de Matemática : Teoría y Aplicaciones     Open Access   (Followers: 1)
Revista Digital: Matemática, Educación e Internet     Open Access  
Revista Electrónica de Conocimientos, Saberes y Prácticas     Open Access  
Revista Integración : Temas de Matemáticas     Open Access  
Revista Internacional de Sistemas     Open Access  
Revista Latinoamericana de Etnomatemática     Open Access  
Revista Latinoamericana de Investigación en Matemática Educativa     Open Access  
Revista Matemática Complutense     Hybrid Journal  
Revista REAMEC : Rede Amazônica de Educação em Ciências e Matemática     Open Access  
Revista SIGMA     Open Access  
Ricerche di Matematica     Hybrid Journal  
RMS : Research in Mathematics & Statistics     Open Access  
Royal Society Open Science     Open Access   (Followers: 7)
Russian Journal of Mathematical Physics     Full-text available via subscription  
Russian Mathematics     Hybrid Journal  
Sahand Communications in Mathematical Analysis     Open Access  
Sampling Theory, Signal Processing, and Data Analysis     Hybrid Journal  
São Paulo Journal of Mathematical Sciences     Hybrid Journal  
Science China Mathematics     Hybrid Journal   (Followers: 1)
Science Progress     Full-text available via subscription   (Followers: 1)
Sciences & Technologie A : sciences exactes     Open Access  
Selecta Mathematica     Hybrid Journal   (Followers: 1)
SeMA Journal     Hybrid Journal  
Semigroup Forum     Hybrid Journal   (Followers: 1)
Set-Valued and Variational Analysis     Hybrid Journal  
SIAM Journal on Applied Mathematics     Hybrid Journal   (Followers: 11)
SIAM Journal on Computing     Hybrid Journal   (Followers: 11)
SIAM Journal on Control and Optimization     Hybrid Journal   (Followers: 18)
SIAM Journal on Discrete Mathematics     Hybrid Journal   (Followers: 8)
SIAM Journal on Financial Mathematics     Hybrid Journal   (Followers: 3)
SIAM Journal on Mathematics of Data Science     Hybrid Journal   (Followers: 1)
SIAM Journal on Matrix Analysis and Applications     Hybrid Journal   (Followers: 3)
SIAM Journal on Optimization     Hybrid Journal   (Followers: 12)
Siberian Advances in Mathematics     Hybrid Journal  
Siberian Mathematical Journal     Hybrid Journal  
Sigmae     Open Access  
SILICON     Hybrid Journal  
SN Partial Differential Equations and Applications     Hybrid Journal  
Soft Computing     Hybrid Journal   (Followers: 7)
Statistics and Computing     Hybrid Journal   (Followers: 14)
Stochastic Analysis and Applications     Hybrid Journal   (Followers: 3)
Stochastic Partial Differential Equations : Analysis and Computations     Hybrid Journal   (Followers: 2)
Stochastic Processes and their Applications     Hybrid Journal   (Followers: 6)
Stochastics and Dynamics     Hybrid Journal   (Followers: 2)
Studia Scientiarum Mathematicarum Hungarica     Full-text available via subscription   (Followers: 1)
Studia Universitatis Babeș-Bolyai Informatica     Open Access  
Studies In Applied Mathematics     Hybrid Journal   (Followers: 1)
Studies in Mathematical Sciences     Open Access   (Followers: 1)
Superficies y vacio     Open Access  
Suska Journal of Mathematics Education     Open Access   (Followers: 1)
Swiss Journal of Geosciences     Hybrid Journal   (Followers: 1)
Synthesis Lectures on Algorithms and Software in Engineering     Full-text available via subscription   (Followers: 2)
Synthesis Lectures on Mathematics and Statistics     Full-text available via subscription   (Followers: 1)
Tamkang Journal of Mathematics     Open Access  
Tatra Mountains Mathematical Publications     Open Access  
Teaching Mathematics     Full-text available via subscription   (Followers: 10)
Teaching Mathematics and its Applications: An International Journal of the IMA     Hybrid Journal   (Followers: 4)
Teaching Statistics     Hybrid Journal   (Followers: 8)
Technometrics     Full-text available via subscription   (Followers: 8)
The Journal of Supercomputing     Hybrid Journal   (Followers: 1)
The Mathematica journal     Open Access  
The Mathematical Gazette     Full-text available via subscription   (Followers: 1)
The Mathematical Intelligencer     Hybrid Journal  
The Ramanujan Journal     Hybrid Journal  
The VLDB Journal     Hybrid Journal   (Followers: 2)
Theoretical and Mathematical Physics     Hybrid Journal   (Followers: 7)
Theory and Applications of Graphs     Open Access  
Topological Methods in Nonlinear Analysis     Full-text available via subscription  
Transactions of the London Mathematical Society     Open Access   (Followers: 1)
Transformation Groups     Hybrid Journal  
Turkish Journal of Mathematics     Open Access  
Ukrainian Mathematical Journal     Hybrid Journal  
Uniciencia     Open Access  
Uniform Distribution Theory     Open Access  
Unisda Journal of Mathematics and Computer Science     Open Access  
Unnes Journal of Mathematics     Open Access   (Followers: 1)
Unnes Journal of Mathematics Education     Open Access   (Followers: 2)
Unnes Journal of Mathematics Education Research     Open Access   (Followers: 1)
Ural Mathematical Journal     Open Access  
Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki     Open Access  
Vestnik St. Petersburg University: Mathematics     Hybrid Journal  
VFAST Transactions on Mathematics     Open Access   (Followers: 1)
Vietnam Journal of Mathematics     Hybrid Journal  
Vinculum     Full-text available via subscription  
Visnyk of V. N. Karazin Kharkiv National University. Ser. Mathematics, Applied Mathematics and Mechanics     Open Access   (Followers: 2)
Water SA     Open Access   (Followers: 1)
Water Waves     Hybrid Journal  
Zamm-Zeitschrift Fuer Angewandte Mathematik Und Mechanik     Hybrid Journal   (Followers: 1)
ZDM     Hybrid Journal   (Followers: 2)
Zeitschrift für angewandte Mathematik und Physik     Hybrid Journal   (Followers: 2)
Zeitschrift fur Energiewirtschaft     Hybrid Journal  
Zetetike     Open Access  

  First | 1 2 3 4     

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Science China Mathematics
Journal Prestige (SJR): 0.817
Citation Impact (citeScore): 1
Number of Followers: 1  
 
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 1674-7283 - ISSN (Online) 1869-1862
Published by Springer-Verlag Homepage  [2469 journals]
  • The positive energy conjecture for a class of AHM metrics on
           $${\mathbb{R}^2} \times {\mathbb{T}^{n - 2}}$$ ℝ 2 × T n − 2

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      Abstract: Abstract We prove the positive energy conjecture for a class of asymptotically Horowitz-Myers (AHM) metrics on \({\mathbb{R}^2} \times {\mathbb{T}^{n - 2}}\) . This generalizes the previous results of Barzegar et al. (2020) as well as Liang and Zhang (2020).
      PubDate: 2022-09-19
       
  • Asymptotic coefficients and errors for Chebyshev polynomial approximations
           with weak endpoint singularities: Effects of different bases

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      Abstract: Abstract When solving differential equations by a spectral method, it is often convenient to shift from Chebyshev polynomials Tn(x) with coefficients an to modified basis functions that incorporate the boundary conditions. For homogeneous Dirichlet boundary conditions, u(±1) = 0, popular choices include the “Chebyshev difference basis” ςn(x) ≡ Tn+2(x) − Tn(x) with coefficients here denoted by bn and the “quadratic factor basis functions” ϱn(x) ≡ (1 − x2)Tn(x) with coefficients cn. If u(x) is weakly singular at the boundaries, then the coefficients an decrease proportionally to \({\cal O}\left( {A\left( n \right)/{n^\kappa }} \right)\) for some positive constant κ, where A(n) is a logarithm or a constant. We prove that the Chebyshev difference coefficients bn decrease more slowly by a factor of 1/n while the quadratic factor coefficients cn decrease more slowly still as \({\cal O}\left( {A\left( n \right)/{n^{\kappa - 2}}} \right)\) . The error for the unconstrained Chebyshev series, truncated at degree n = N, is \({\cal O}\left( {\left {A\left( N \right)} \right /{N^\kappa }} \right)\) in the interior, but is worse by one power of N in narrow boundary layers near each of the endpoints. Despite having nearly identical error norms, the error in the Chebyshev basis is concentrated in boundary layers near both endpoints, whereas the error in the quadratic factor and difference basis sets is nearly uniform oscillations over the entire interval in x. Meanwhile, for Chebyshev polynomials and the quadratic factor basis, the value of the derivatives at the endpoints is \({\cal O}\left( {{N^2}} \right)\) , but only \({\cal O}\left( N \right)\) for the difference basis. Furthermore, we give the asymptotic coefficients and rigorous error estimates of the approximations in these three bases, solved by the least squares method. We also find an interesting fact that on the face of it, the aliasing error is regarded as a bad thing, actually, the error norm associated with the downward curving spectral coefficients decreases even faster than the error norm of infinite truncation. But the premise is contrasted under the same basis, and when involving different bases, it may not yet establish.
      PubDate: 2022-09-08
       
  • On unitary equivalence of compact operator tuples

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      Abstract: Abstract For a compact operator tuple A, if its projective spectrum P(A*) is smooth, there exists a natural Hermitian holomorphic line bundle EA over P(A*) which is a unitary invariant for A. This paper shows that under some additional spectral conditions, EA is a complete unitary invariant, i.e., EA can determine the compact operator tuple up to unitary equivalence.
      PubDate: 2022-09-07
       
  • Regularity for minimizing sequences of some variational integrals

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      Abstract: Abstract This paper deals with regularity properties for minimizing sequences of some integral functionals related to the nonlinear elasticity theory. Under some structural conditions, we derive that the minimizing sequence and the derivatives of the sequences have some regularity properties by using the Ekeland variational principle.
      PubDate: 2022-09-02
       
  • Asymptotic expansions of complete Kähler-Einstein metrics with finite
           volume on quasi-projective manifolds

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      Abstract: Abstract We give an elementary proof to the asymptotic expansion formula of Rochon and Zhang (2012) for the unique complete Kähler-Einstein metric of Cheng and Yau (1980), Kobayashi (1984), Tian and Yau (1987) and Bando (1990) on quasi-projective manifolds. The main tools are the solution formula for second-order ordinary differential equations (ODEs) with constant coefficients and spectral theory for the Laplacian operator on a closed manifold.
      PubDate: 2022-09-01
       
  • Actads

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      Abstract: Abstract In this paper, I introduce a new generalization of the concept of an operad, further generalizing the concept of an opetope introduced by Baez and Dolan (1998), who used this for the definition of their version of non-strict n-categories. Opetopes arise from iterating a certain construction on operads called the +-construction, starting with monoids. The first step gives rise to plain operads, i.e., operads without symmetries. The permutation axiom in a symmetric operad, however, is an additional structure resulting from permutations of variables, independent of the structure of a monoid. Even though we can apply the +-construction to symmetric operads, there is the possibility of introducing a completely different kind of permutations on the higher levels by again permuting variables without regard to the structures on the previous levels. Defining and investigating these structures is the main purpose of this paper. The structures obtained in this way are what I call n-actads. In n-actads with n > 1, the permutations on the different levels give rise to a certain special kind of n-fold category. I also explore the concept of iterated algebras over an n-actad (generalizing an algebra and a module over an operad), and various types of iterated units. I give some examples of algebras over 2-actads, and show how they can be used to construct certain new interesting homotopy types of operads. I also discuss a connection between actads and ordinal notation.
      PubDate: 2022-09-01
       
  • Nearly invariant subspaces for shift semigroups

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      Abstract: Abstract Let {T(t)}t⩾0 be a C0-semigroup on an infinite-dimensional separable Hilbert space; a suitable definition of near {T(t)*}t⩾0 invariance of a subspace is presented in this paper. A series of prototypical examples for minimal nearly {S(t)*}t⩾0 invariant subspaces for the shift semigroup {S(t)}t⩾0 on L2(0, ∞) are demonstrated, which have close links with near \(T_\theta^*\) invariance on Hardy spaces of the unit disk for an inner function θ. Especially, the corresponding subspaces on Hardy spaces of the right half-plane and the unit disk are related to model spaces. This work further includes a discussion on the structure of the closure of certain subspaces related to model spaces in Hardy spaces.
      PubDate: 2022-09-01
       
  • On the fractional doubly parabolic Keller-Segel system modelling
           chemotaxis

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      Abstract: Abstract This work is concerned with the time-fractional doubly parabolic Keller-Segel system in ℝN (N ≽ 1), and we derive some refined results on the large time behavior of solutions which are presupposed to enjoy some uniform boundedness properties. Moreover, the well-posedness and the asymptotic stability of solutions in Marcinkiewicz spaces are studied. The results are achieved by means of an appropriate estimation of the system nonlinearities in the course of an analysis based on Duhamel-type representation formulae and the Kato-Fujita framework which consists in constructing a fixed-point argument by using a suitable time-dependent space.
      PubDate: 2022-09-01
       
  • A Kählerness criterion for real (1, 1)-classes on projective manifolds
           through extendibility of singular potentials

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      Abstract: Abstract Let X be a projective manifold and let {θ}∈ H1,1(X, ℝ) be a nonzero pseudo-effective (transcendental) class, where θ is a smooth closed real (1, 1)-form. We prove that if for any one-dimensional complex submanifold C ⊂ X and ϕ ∈ SPsh(C, θ∣C) with a single analytic singularity at some point p ∈ C, there exists a function \(\tilde \varphi \in {\rm{Psh}}(X,\theta )\) such that \(\tilde \varphi \left {_C = \varphi } \right.\) and \({\tilde \varphi }\) is continuous at points of C {p}, then {θ} is a Kähler class.
      PubDate: 2022-09-01
       
  • Finsler Trudinger-Moser inequalities on ℝ2

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      Abstract: Abstract The first aim of this article is to study the sharp singular (two-weight) Trudinger-Moser inequalities with Finsler norms on ℝ2. The second goal is to propose a different approach to study a vanishing-concentration-compactness principle for the Trudinger-Moser inequalities and use this to investigate the existence and the nonexistence of the maximizers for the Trudinger-Moser inequalities in the subcritical regions. Finally, by applying our Finsler Trudinger-Moser inequalities to suitable Finsler norms, we derive the sharp affine Trudinger-Moser inequalities which are essentially stronger than the Trudinger-Moser inequalities with standard energy of the gradient.
      PubDate: 2022-09-01
       
  • Almost automorphically-forced flows on S1 or ℝ in one-dimensional almost
           periodic semilinear heat equations

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      Abstract: Abstract In this paper, we consider the asymptotic dynamics of the skew-product semiflow generated by the following time almost periodically-forced scalar reaction-diffusion equation: \({u_t} = {u_{xx}} + f(t,u,{u_x}),\,\,\,\,\,t > 0,\,\,\,\,\,0 < x < L\) with the periodic boundary condition \(u(t,0) = u(t,L),\,\,\,\,\,\,\,{u_x}(t,0) = {u_x}(t,L),\) where f is uniformly almost periodic in t. In particular, we study the topological structure of the limit sets of the skew-product semiflow. It is proved that any compact minimal invariant set (throughout this paper, we refer to it as a minimal set) can be residually embedded into an invariant set of some almost automorphically-forced flow on a circle S1 = ℝ/Lℤ (see Definition 2.4 for “residually embedded”). Particularly, if f (t,u,p) = f(t,u, −p), then the flow on a minimal set can be embedded into an almost periodically-forced minimal flow on ℝ (see Definition 2.4 for “embedded”). Moreover, it is proved that the ω-limit set of any bounded orbit contains at most two minimal sets that cannot be obtained from each other by phase translation. In addition, we further consider the asymptotic dynamics of the skew-product semiflow generated by (0.1) with the Neumann boundary condition ux(t, 0) = ux(t, L) = 0 or the Dirichlet boundary condition u(t, 0) = u(t, L) = 0. For such a system, it has been known that the ω-limit set of any bounded orbit contains at most two minimal sets. By applying the new results for (0.1) + (0.2), under certain direct assumptions on f, we prove in this paper that the flow on any minimal set of (0.1) with the Neumann boundary condition or the Dirichlet boundary condition can be embedded into an almost periodically-forced minimal flow on ℝ. Finally, a counterexample is given to show that even for quasi-periodically-forced equations, the results we obtain here cannot be further improved in general.
      PubDate: 2022-09-01
       
  • Sufficient dimension reduction in the presence of controlling variables

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      Abstract: Abstract We are concerned with partial dimension reduction for the conditional mean function in the presence of controlling variables. We suggest a profile least square approach to perform partial dimension reduction for a general class of semi-parametric models. The asymptotic properties of the resulting estimates for the central partial mean subspace and the mean function are provided. In addition, a Wald-type test is proposed to evaluate a linear hypothesis of the central partial mean subspace, and a generalized likelihood ratio test is constructed to check whether the nonparametric mean function has a specific parametric form. These tests can be used to evaluate whether there exist interactions between the covariates and the controlling variables, and if any, in what form. A Bayesian information criterion (BIC)-type criterion is applied to determine the structural dimension of the central partial mean subspace. Its consistency is also established. Numerical studies through simulations and real data examples are conducted to demonstrate the power and utility of the proposed semi-parametric approaches.
      PubDate: 2022-09-01
       
  • Minimal silting modules and ring extensions

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      Abstract: Abstract Ring epimorphisms often induce silting modules and cosilting modules, termed minimal silting or minimal cosilting. The aim of this paper is twofold. Firstly, we determine the minimal tilting and minimal cotilting modules over a tame hereditary algebra. In particular, we show that a large cotilting module is minimal if and only if it has an adic module as a direct summand. Secondly, we discuss the behavior of minimality under ring extensions. We show that minimal cosilting modules over a commutative noetherian ring extend to minimal cosilting modules along any flat ring epimorphism. Similar results are obtained for commutative rings of small homological dimension.
      PubDate: 2022-09-01
       
  • Nearly optimal stochastic approximation for online principal subspace
           estimation

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      Abstract: Abstract Principal component analysis (PCA) has been widely used in analyzing high-dimensional data. It converts a set of observed data points of possibly correlated variables into a set of linearly uncorrelated variables via an orthogonal transformation. To handle streaming data and reduce the complexities of PCA, (subspace) online PCA iterations were proposed to iteratively update the orthogonal transformation by taking one observed data point at a time. Existing works on the convergence of (subspace) online PCA iterations mostly focus on the case where the samples are almost surely uniformly bounded. In this paper, we analyze the convergence of a subspace online PCA iteration under more practical assumption and obtain a nearly optimal finite-sample error bound. Our convergence rate almost matches the minimax information lower bound. We prove that the convergence is nearly global in the sense that the subspace online PCA iteration is convergent with high probability for random initial guesses. This work also leads to a simpler proof of the recent work on analyzing online PCA for the first principal component only.
      PubDate: 2022-08-30
       
  • New existence of multi-spike solutions for the fractional Schrödinger
           equations

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      Abstract: Abstract We consider the following fractional Schrödinger equation: (0.1) $${\left( { - \Delta } \right)^s}u + V\left( y \right)u = {u^p},\,\,\,\,\,\,u > 0\,\,\,\,{\rm{in}}\,\,{\mathbb{R}^N},$$ where s ∈ (0, 1), \(1 < p < {{N + 2s} \over {N - 2s}}\) , and V(y) is a positive potential function and satisfies some expansion condition at infinity. Under the Lyapunov-Schmidt reduction framework, we construct two kinds of multi-spike solutions for (0.1). The first k-spike solution uk is concentrated at the vertices of the regular k-polygon in the (y1, y2)-plane with k and the radius large enough. Then we show that uk is non-degenerate in our special symmetric workspace, and glue it with an n-spike solution, whose centers lie in another circle in the (y3, y4)-plane, to construct infinitely many multi-spike solutions of new type. The nonlocal property of (−Δ)s is in sharp contrast to the classical Schrödinger equations. A striking difference is that although the nonlinear exponent in (0.1) is Sobolev-subcritical, the algebraic (not exponential) decay at infinity of the ground states makes the estimates more subtle and difficult to control. Moreover, due to the non-locality of the fractional operator, we cannot establish the local Pohozaev identities for the solution u directly, but we address its corresponding harmonic extension at the same time. Finally, to construct new solutions we need pointwise estimates of new approximation solutions. To this end, we introduce a special weighted norm, and give the proof in quite a different way.
      PubDate: 2022-08-26
       
  • Bubbling solutions of fourth order mean field equations on
           $\mathbb{S}^{4}$ S 4

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      Abstract: Abstract In this paper, we first establish the existence of blow-up solutions with two antipodal points to the fourth order mean field equations on \(\mathbb{S}^{4}\) . Moreover, we construct non-axially symmetric solutions with blow-up points at the vertices of regular configurations, i.e., equilateral triangles on a great circle, regular tetrahedrons, cubes, octahedrons, icosahedrons and dodecahedrons. The bubbling rates of these blow-up solutions rely on various bubbling configurations.
      PubDate: 2022-08-23
       
  • The Morse index of minimal products of minimal submanifolds in spheres

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      Abstract: Abstract Tang and Zhang (2020) and Choe and Hoppe (2018) showed independently that one can produce minimal submanifolds in spheres via the Clifford type minimal product of minimal submanifolds. In this paper, we show that the minimal product is immersed by its first eigenfunctions (of its Laplacian) if and only if the two beginning minimal submanifolds are immersed by their first eigenfunctions. Moreover, we give the estimates of the Morse index and the nullity of the minimal product. In particular, we show that the Clifford minimal submanifold \((\sqrt {{{{n_1}} \over n}} {S^{{n_1}}}, \ldots ,\sqrt {{{{n_k}} \over n}} {S^{{n_k}}}) \subset {S^{n + k - 1}}\) has the index (k − 1)(n + k + 1) and the nullity (k − 1) ∑1⩽i<j⩽k(ni + 1)(nj + 1) (with n = ∑nj).
      PubDate: 2022-08-18
       
  • A new perturbation to a critical elliptic problem with a variable exponent

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      Abstract: Abstract In this paper, we study the following critical elliptic problem with a variable exponent: $$\left\{ {\matrix{{ - \Delta u = {u^{p + \epsilon a\left( x \right)}}} \hfill & {{\rm{in}}\,\,\Omega ,} \hfill \cr {u > 0} \hfill & {{\rm{in}}\,\,\Omega ,} \hfill \cr {u = 0} \hfill & {{\rm{on}}\,\partial \Omega ,} \hfill \cr } } \right.$$ where \(a\left( x \right) \in {C^2}\left( {\overline \Omega } \right),\,p = {{N + 2} \over {N - 2}},\,\,\epsilon > 0\) , and Ω is a smooth bounded domain in ℝN (N ≽ 4). We show that for ∊ small enough, there exists a family of bubble solutions concentrating at the negative stable critical point of the function a(x). This is a new perturbation to the critical elliptic equation in contrast to the usual subcritical or supercritical perturbation, and gives the first existence result for the critical elliptic problem with a variable exponent.
      PubDate: 2022-08-17
       
  • On the Chern conjecture for isoparametric hypersurfaces

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      Abstract: Abstract For a closed hypersurface Mn ⊂ Sn+1(1) with constant mean curvature and constant non-negative scalar curvature, we show that if \({\rm{tr}}\left({{{\cal A}^k}} \right)\) are constants for k = 3, …, n − 1 and the shape operator \({\cal A}\) then M is isoparametric. The result generalizes the theorem of de Almeida and Brito (1990) for n = 3 to any dimension n, strongly supporting the Chern conjecture.
      PubDate: 2022-08-05
       
  • Limiting spectral distribution of high-dimensional noncentral Fisher
           matrices and its analysis

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      Abstract: Abstract Fisher matrix is one of the most important statistics in multivariate statistical analysis. Its eigenvalues are of primary importance for many applications, such as testing the equality of mean vectors, testing the equality of covariance matrices and signal detection problems. In this paper, we establish the limiting spectral distribution of high-dimensional noncentral Fisher matrices and investigate its analytic behavior. In particular, we show the determination criterion for the support of the limiting spectral distribution of the noncentral Fisher matrices, which is the base of investigating the high-dimensional problems concerned with noncentral Fisher matrices.
      PubDate: 2022-08-04
       
 
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