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
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: 13)
Stochastic Analysis and Applications     Hybrid Journal   (Followers: 2)
Stochastic Partial Differential Equations : Analysis and Computations     Hybrid Journal   (Followers: 1)
Stochastic Processes and their Applications     Hybrid Journal   (Followers: 5)
Stochastics and Dynamics     Hybrid Journal  
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: 2)
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: 1)
Water SA     Open Access   (Followers: 2)
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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Zeitschrift für angewandte Mathematik und Physik
Journal Prestige (SJR): 0.828
Citation Impact (citeScore): 2
Number of Followers: 2  
 
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 0044-2275 - ISSN (Online) 1420-9039
Published by Springer-Verlag Homepage  [2469 journals]
  • More degeneracy but fewer bifurcations in a predator–prey system
           having fully null linear part

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      Abstract: Abstract Although the Poincaré normal form theory is not applicable, a predator–prey system having fully null linear part was proved to be degenerate of codimension 2 within the class of the GLV vector fields and unfolded versally within the GLV class. In this paper, we study the case that the nondegeneracy condition no longer holds, i.e., a quadratic term vanishes. We prove that the quadratic terms in the GLV normal form cannot be eliminated any more, showing that the vanished quadratic term substantially contributes to the degeneracy. We give its versal unfolding of codimension 3 within the GLV class, display all its bifurcations near the equilibrium, and see that the Hopf bifurcation and the heteroclinic bifurcation, which occur in the codimension 2 case, do not happen but two transcritical bifurcations at different equilibria may occur simultaneously, which is impossible in the codimension 2 case.
      PubDate: 2022-05-18
       
  • Stabilization and exponential decay for 2D Boussinesq equations with
           partial dissipation

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      Abstract: Abstract This paper focuses on a special 2D Boussinesq equation with partial dissipation, for which the velocity equation involves no dissipation and there is only damping in the horizontal component equation. Without buoyancy force, the corresponding vorticity equation is a 2D Euler-like equation with an extra Calderon–Zygmund-type term. Its stability is an open problem. Our results reveal that the buoyancy force exactly stabilizes the fluids by the coupling and interaction between the velocity and temperature. In addition, we prove the solution decays exponentially to zero in Sobolev norm.
      PubDate: 2022-05-17
       
  • Bi-coherent states as generalized eigenstates of the position and the
           momentum operators

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      Abstract: Abstract In this paper, we show that the position and the derivative operators, \({{\hat{q}}}\) and \({{\hat{D}}}\) , can be treated as ladder operators connecting various vectors of two biorthonormal families, \({{{\mathcal {F}}}}_\varphi \) and \({{{\mathcal {F}}}}_\psi \) . In particular, the vectors in \({{{\mathcal {F}}}}_\varphi \) are essentially monomials in x, \(x^k\) , while those in \({{{\mathcal {F}}}}_\psi \) are weak derivatives of the Dirac delta distribution, \(\delta ^{(m)}(x)\) , times some normalization factor. We also show how bi-coherent states can be constructed for these \({{\hat{q}}}\) and \({{\hat{D}}}\) , both as convergent series of elements of \({{{\mathcal {F}}}}_\varphi \) and \({{{\mathcal {F}}}}_\psi \) , or using two different displacement-like operators acting on the two vacua of the framework. Our approach generalizes well- known results for ordinary coherent states.
      PubDate: 2022-05-16
       
  • Delay-driven spatial patterns in a predator–prey model with constant
           prey harvesting

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      Abstract: Abstract This paper deals with a predator–prey model with time delay and constant prey harvesting. We investigate the effect of the time delay on the stability of the coexistence equilibrium and demonstrate that time delay can induce spatial patterns. Furthermore, a Hopf bifurcation occurs when the delay increases to a critical value. By applying normal form theory and the center manifold theorem, we develop the explicit formulae that determines the stability and direction of the bifurcating periodic solutions. Finally, we show how the initial condition affects the types of spatial patterns by numerical simulations.
      PubDate: 2022-05-16
       
  • Unified stability analysis for a Volterra integro-differential equation
           under creation time perspective

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      Abstract: Abstract Many real-world applications are modeled by Volterra integral–differential equations of the form $$\begin{aligned} u_{tt}-\Delta u +\int \limits _{\alpha }^{t}g(t-s)\Delta u(s)\, \mathrm{d}s = 0 \;\; \text{ in } \;\; \Omega \times (0,\infty ), \end{aligned}$$ where \(\Omega \) is a bounded domain of \({\mathbb {R}}^N\) and g is a memory kernel. Our main concern is with the concept of so-called creation time, the time \(\alpha \) where past history begins. Separately, the cases \(\alpha =-\infty \) (history) and \(\alpha =0\) (null history) were extensively studied in the literature. However, as far as we know, there is no unified approach with respect to the intermediate case \(-\infty< \alpha <0\) . Therefore we provide new stability results featuring (i) uniform and general stability when the creation time \(\alpha \) varies over full range \((-\infty ,0)\) and (ii) connection between the history and the null history cases by means of a rigorous backward ( \(\alpha \rightarrow -\infty \) ) and forward ( \(\alpha \rightarrow 0^-\) ) limit analysis.
      PubDate: 2022-05-13
       
  • Dynamics and pattern formation in a reaction-diffusion-advection
           mussel–algae model

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      Abstract: Abstract This paper investigates the dynamics and pattern formation of a system modeling the interaction of mussels and algae in the water layer overlying the mussel bed, where the algae are the main food source for mussels, and the advection of algae is directed from the open sea toward the shore. For such a class of systems, we first provide a clear picture on the local dynamics of the semi-trivial steady state in terms of diffusion rate of algae and advection rate, and then the global dynamics is presented by persistence theory and global stability of the semi-trivial steady state. Finally, the existence of the positive steady state is also investigated.
      PubDate: 2022-05-12
       
  • Quantum scattering by a Viviani’s curve

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      Abstract: Abstract We investigate the scattering of a plane wave by a spatial curve known as Viviani’s curve which has several applications in optics. We formulate the problem in terms of a three-dimensional Lippmann–Schwinger equation, with a boundary-wall potential, and solve it exactly.
      PubDate: 2022-05-07
       
  • An analytic derivation of the bifurcation conditions for localization in
           hyperelastic tubes and sheets

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      Abstract: Abstract We provide an analytic derivation of the bifurcation conditions for localized bulging in an inflated hyperelastic tube of arbitrary wall thickness and axisymmetric necking in a hyperelastic sheet under equibiaxial stretching. It has previously been shown numerically that the bifurcation condition for the former problem is equivalent to the vanishing of the Jacobian determinant of the internal pressure P and resultant axial force N, with each of them viewed as a function of the azimuthal stretch on the inner surface and the axial stretch. This equivalence is established here analytically. For the latter problem for which it has recently been shown that the bifurcation condition is not given by a Jacobian determinant equal to zero, we explain why this is the case and provide an alternative interpretation.
      PubDate: 2022-05-07
       
  • Delta shock as free piston in pressureless Euler flows

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      Abstract: Abstract We establish the equivalence of free piston and delta shock, for the one-space-dimensional pressureless compressible Euler equations. The delta shock appearing in the singular Riemann problem is exactly the piston that may move freely forward or backward in a straight tube, driven by the pressureless Euler flows on two sides of it in the tube. This result not only helps to understand the physics of the somewhat mysterious delta shocks, but also provides a way to reduce the fluid–solid interaction problem, which consists of several initial-boundary value problems coupled with moving boundaries, to a simpler Cauchy problem. We show the equivalence from three different perspectives. The first one is from the sticky particles, and derives the ordinary differential equation (ODE) of the trajectory of the piston by a straightforward application of conservation law of momentum, which is physically simple and clear. The second one is to study a coupled initial-boundary value problem of pressureless Euler equations, with the piston as a moving boundary following the Newton’s second law. It depends on a concept of Radon measure solutions of initial-boundary value problems of the compressible Euler equations which enables us to calculate the force on the piston given by the flow. The last one is to solve directly the singular Riemann problem and obtain the ODE of delta shock by the generalized Rankine–Hugoniot conditions. All the three methods lead to the same ODE.
      PubDate: 2022-05-06
       
  • Finite element method for the reconstruction of a time-dependent heat
           source in isotropic thermoelasticity systems of type-III

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      Abstract: Abstract The isotropic thermoelasticity system of type-III, describing both the mechanical and the thermal behaviours of a body occupying a bounded domain with a Lipschitz boundary, is considered. The displacement vector and either the normal heat flux or the temperature are prescribed on the boundary. Both the theoretical and the numerical reconstructions of a time-dependent heat source from the knowledge of an additional weighted integral measurement of the temperature are investigated. It is shown that the appropriate type of measurement depends on the thermal boundary condition available, whilst the existence and uniqueness of a weak solution for exact data are also proved. For each of the two inverse source problems investigated herein, a numerical algorithm is also proposed and the convergence of these numerical schemes for exact data is proved. Four numerical examples with noisy measurements are implemented using the finite element method and thoroughly investigated to validate the convergence and stability of the proposed algorithms.
      PubDate: 2022-05-04
       
  • The asymptotic analysis of a vector–host epidemic model with finite
           growing domain

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      Abstract: To study the impact of vector’s habitat expansion and mobility of hosts on the geographic spread of diseases, we propose a diffusive vector–host epidemic model with a finite growing domain and mainly focus on its asymptotic profile. In a situation that the domain grows uniformly and isotropically with growth ratio \(\rho \) , we employ the Lagrangian transformations to transform the model in the growing domain into the one in a fixed domain, along with dilution terms and time-dependent diffusion coefficients. We analyze the well posedness of the model and define the basic reproduction number \(\Re _0^\rho \) . Our results indicate that if \(\Re _0^\rho < 1\) , the disease-free equilibrium is globally asymptotically stable without any extra conditions, while the infected populations will eventually tend to the set formulated by the maximum and minimum solutions of the associated steady-state problem if \(\Re _0^\rho >1\) . The analysis is carried out by using the comparison principle, the theory of quasimonotone nondecreasing elliptic and parabolic system, and convergence of abstract asymptotic autonomous system. Comparing the results with those in a fixed domain, we confirm that the growth of domain brings negative influences on disease control.
      PubDate: 2022-05-03
       
  • Well-posedness, lack of analyticity and exponential stability in nonlocal
           Mindlin’s strain gradient porous elasticity

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      Abstract: Abstract In this paper, we derive a nonlocal theory for porous elastic materials in the context of Mindlin’s strain gradient model. The second gradient of deformation and the second gradient of volume fraction field are added to the set of independent constitutive variables by taking into account the nonlocal length scale parameters effect. The obtained system of equations is a coupling of a two hyperbolic equations with higher gradients terms due to the strain gradient length scale parameter l and the elastic nonlocal parameter \(\varpi \) . This poses some new mathematical difficulties due to the lack of regularity. Under quite general assumptions on nonlinear sources terms and based on nonlinear semigroups and the theory of monotone operators, we establish existence and uniqueness of weak and strong solutions to the one dimensional nonlinear problem. By an approach based on the Gearhart–Herbst–Prüss–Huang Theorem, we prove that the semigroup associated with the derived model is not analytic in general ( \(\varpi =0\) or not). A frictional damping for the elastic component, whose form depends on the elastic nonlocal parameter ( \(\varpi =0\) or not), is shown to lead to exponential stability at a rate of decay determined explicitly. Without frictional damping, the derived system can be exponentially stable only in the absence of body forces and under the condition of equal wave speeds.
      PubDate: 2022-04-30
       
  • Flamant problem of a cubic quasicrystal half-plane

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      Abstract: Abstract The Flamant problem of a cubic quasicrystal half-plane is solved when its surface is loaded by normal and tangential concentrated forces. Its solution serves as a fundamental solution since its superposition forms other solutions. The Flamant problem is converted to an associated boundary value problem. The Fourier transform method is applied to solve the Flamant problem. Explicit expressions for the fundamental solution of the phonon and phason stresses are obtained. A comparison between the fundamental solutions of the Flamant problem for cubic quasicrystals and conventional cubic crystals is made. The influence of the presence of phason field on the phonon stress and deformation is shown in graph.
      PubDate: 2022-04-30
       
  • The Truesdell rate in Continuum Mechanics

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      Abstract: Abstract What today we call Truesdell rate of the Cauchy stress was originally introduced by Truesdell, as a frame-indifferent measure of stress rate for his theory of hypoelasticity. This work aims at showing that the Truesdell rate is in fact a more general concept, which arises from the application of Reynolds’ Transport Theorem. In the customary three-dimensional setting, the Transport Theorem can be formulated in terms of differential forms, i.e., three-forms for volume integrals and two-forms for surface integrals, in which case the only differential operator involved is the Lie derivative with respect to the velocity field of the continuum body. Alternatively, the Transport Theorem can be formulated in terms of the pseudo-scalar density associated with a three-form and the pseudo-vector flux density associated with a two-form. In this alternative approach, the differential operator involved is precisely the Truesdell rate. As an example, we shall show how the “convected derivative” of the theory of Electromagnetism is in fact a Truesdell rate.
      PubDate: 2022-04-28
       
  • Stabilization of a transmission problem with past history and acoustic
           boundary conditions

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      Abstract: Abstract In this paper we consider a transmission problem for the wave equations with past history and acoustic boundary conditions, involving two distinct domains connected through a common interface. The frictional dampings are only distributed in a small neighbourhood of the interface. Under some geometric conditions, we obtain the energy decays at the rate quantified by the solution to a certain nonlinear ODE dependent on the damping terms. Our method is based on using appropriate weighted multipliers to establish the necessary observability inequality that allows to obtain the energy estimate.
      PubDate: 2022-04-27
       
  • In-plane deformations of a circular elastic inhomogeneity with an
           eccentric interphase layer

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      Abstract: Abstract We use complex variable methods to derive an analytical solution to the problem in plane elasticity associated with a circular elastic inhomogeneity with an eccentric interphase layer when the matrix is subjected to uniform remote in-plane stresses and the interphase layer undergoes uniform in-plane eigenstrains. The complex coefficients appearing in all three pairs of analytic functions characterizing the elastic fields in the composite are uniquely determined by solving two decoupled sets of linear algebraic equations obtained by enforcing the continuity conditions of tractions and displacements across the two perfect circular interfaces with the aid of analytic continuation. A simple analytical solution is also derived when the circular inhomogeneity becomes a traction-free hole and the interphase layer and the matrix have equal shear modulus but distinct Poisson’s ratios. The non-uniform mean stress inside the circular inhomogeneity and the hoop stress along the edge of the circular hole are calculated and illustrated graphically.
      PubDate: 2022-04-27
       
  • Uniform random attractors for a non-autonomous stochastic strongly damped
           

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      Abstract: Abstract The aim of this paper is to investigate the existence of uniform random attractor for a non-autonomous stochastic strongly damped wave equation driven by multiplicative noise defined on \({{\mathbb {R}}}^{N}\) ( \(1\le N\le 3\) ). First, we prove the equation can generate a non-autonomous random dynamical system (NRDS), which is continuous in both phase space \(H^1({\mathbb {R}}^{N})\times L^2({\mathbb {R}}^{N})\) and symbol space. Then, we derive the uniform estimates of solutions for the equation and obtain a uniform random absorbing set with respect to the symbols. Finally, we get the uniformly asymptotic compactness of the NRDS by using the method of tail estimates and obtain the existence of a uniform random attractor for the dynamical system. Furthermore, we can also obtain that the uniform random attractor with respect to the deterministic non-autonomous symbols belonging to hull space coincides with the uniform random attractor with respect to initial time belonging to \({\mathbb {R}}\) .
      PubDate: 2022-04-27
       
  • Normalized solutions for the Schrödinger systems with mass supercritical
           and double Sobolev critical growth

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      Abstract: Abstract This paper is devoted to studying the following Sobolev critical Schrödinger systems: $$\begin{aligned} {\left\{ \begin{array}{ll} -\Delta u+\lambda _1 u= u ^{2^*-2}u+\mu _1 u ^{p-2}u+\beta r_1 u ^{r_1-2}u v ^{r_2}\; &{}\hbox {in}\quad \mathbb {R}^N, \\ -\Delta v+\lambda _2 v= v ^{2^*-2}v+\mu _2 v ^{q-2}v+\beta r_2 u ^{r_1} v ^{r_2-2}v\; &{}\hbox {in}\quad \mathbb {R}^N, \\ \int \limits _{\mathbb {R}^N} u^2=a^2\quad \hbox {and}\quad \int \limits _{\mathbb {R}^N} v^2=b^2,\quad u,v\in H^1({\mathbb {R}}^N). \end{array}\right. } \end{aligned}$$ Here, \(N\ge 3\) , \(2^*=\frac{2N}{N-2}\) is the Sobolev critical exponent, \(r_1, r_2>1\) , \(p, q, r_1+r_2\in (2+\frac{4}{N},2^*]\) , \(a,b,\mu _1,\mu _2,\beta >0\) are positive constants and \(\lambda _1,\lambda _2\in \mathbb {R}\) will arise as Lagrange multipliers. Any (u, v) solving such systems (for some \(\lambda _1,\lambda _2\) ) is called the normalized solution in the literature, where the normalization is settled in \(L^2(\mathbb {R}^N)\) . By revealing the basic behavior of the mountain-pass energy \(c_{\beta }(a,b)\) when \(\beta >0\) is sufficiently large, we firstly show that if \(p,q,r_1+r_2<2^*\) the existence of positive normalized solution. Then, for the case of \(p=q=r_1+r_2=2^*\) , we may obtain the nonexistence of positive normalized solution.
      PubDate: 2022-04-27
       
  • Existence and concentration of ground state solutions for critical
           Kirchhoff-type equation involving Hartree-type nonlinearities

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      Abstract: Abstract We consider the following Kirchhoff-type equation of the form $$\begin{aligned} -\left( a+b\int \limits _{\,\,\,\mathbb {R}^3} \nabla u ^2\right) \Delta u+(1+\mu g(x))u=\lambda \left( \frac{1}{ x ^{\alpha }}* u ^p\right) u ^{p-2}u+ u ^4u,\quad x\in \mathbb {R}^3\end{aligned}$$ where \(a>0, b\ge 0\) are constants, \(\lambda , \mu \) are positive parameters, \(\alpha \in (0,3), p\in \left( 2, 6-\alpha \right) \) and \(g\in C(\mathbb {R}^3)\) satisfies some conditions. By the mountain pass theorem, we establish the existence of ground state solutions. Besides, the concentration of ground state solutions is also described as \(\mu \rightarrow \infty \) .
      PubDate: 2022-04-27
       
  • Fast spatial behavior in higher order in time equations and systems

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      Abstract: Abstract In this work, we consider the spatial decay for high-order parabolic (and combined with a hyperbolic) equation in a semi-infinite cylinder. We prove a Phragmén-Lindelöf alternative function and, by means of some appropriate inequalities, we show that the decay is of the type of the square of the distance to the bounded end face of the cylinder. The thermoelastic case is also considered when the heat conduction is modeled using a high-order parabolic equation. Though the arguments are similar to others usually applied, we obtain new relevant results by selecting appropriate functions never considered before.
      PubDate: 2022-04-27
       
 
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