Homogenization in elastodynamics with force term depending on time
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 10, Page 723-728, 2000., 2000 We extend the study on the homogenization problem for an elastic material containing a distributed array of gas bubbles to the case when the body force depends on time. By technically constructing an approximating sequence, we are able to show the convergence of semigroups and therefore prove the main result that such spongy material can be ...
Ping Wang
wiley +1 more source
Nonautonomous Klein–Gordon–Maxwell systems in a bounded domain
Advances in Nonlinear Analysis, 2014 This paper deals with the Klein–Gordon–Maxwell system in a bounded spatial domain with a nonuniform coupling. We discuss the existence of standing waves in equilibrium with a purely electrostatic field, assuming homogeneous Dirichlet boundary conditions ...
d'Avenia Pietro +2 more
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Critical elliptic systems involving multiple strongly–coupled Hardy–type terms
Advances in Nonlinear Analysis, 2019 In this paper, we study the radially–symmetric and strictly–decreasing solutions to a system of critical elliptic equations in RN, which involves multiple critical nonlinearities and strongly–coupled Hardy– type terms.
Kang Dongsheng, Liu Mengru, Xu Liangshun
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Multiplicity and concentration results for magnetic relativistic Schrödinger equations
Advances in Nonlinear Analysis, 2019 In this paper, we consider the following magnetic pseudo-relativistic Schrödinger ...
Xia Aliang
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Multiplicity of weak solutions for a class of non-homogeneous anisotropic elliptic systems [PDF]
We study the existence of infinitely many weak solutions for a new class of nonhomogeneous Neumann elliptic systems involving operators that extend both generalized Laplace operators and generalized mean curvature operators in the framework of ...
AHMED, Ahmed +1 more
core +2 more sources
Monotonicity formulas for coupled elliptic gradient systems with applications
Advances in Nonlinear Analysis, 2019 Consider the following coupled elliptic system of ...
Fazly Mostafa, Shahgholian Henrik
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Normalized solutions for a class of scalar field equations involving mixed fractional Laplacians
Advanced Nonlinear Studies, 2022 The purpose of this article is to establish sharp conditions for the existence of normalized solutions to a class of scalar field equations involving mixed fractional Laplacians with different orders.
Luo Tingjian, Hajaiej Hichem
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Critical Points of Dirac Functional with Broken Symmetry [PDF]
, 2018 [Georgiev Vladimir; Георгиев Владимир]In this paper, we prove the existence of a radially symmetric critical point of the Dirac functional with broken symmetry.
Georgiev, Vladimir +1 more
core
Existence and multiplicity results for some Lane–Emden elliptic systems: Subquadratic case
Advances in Nonlinear Analysis, 2015 We study the nonlinear elliptic system of Lane–Emden type -Δu = sgn(v) |v|p-1 in Ω, -Δv = f(x,u) in Ω, u = v = 0 on ∂Ω, where Ω is an open bounded subset of ℝN, N ≥ 2, p > 1 and f : Ω × ℝ → ℝ is a Carathéodory function satisfying suitable growth ...
Barile Sara, Salvatore Addolorata
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Normalized solutions for a critical fractional Choquard equation with a nonlocal perturbation
Advances in Nonlinear Analysis, 2023 In this article, we study the fractional critical Choquard equation with a nonlocal perturbation: (−Δ)su=λu+α(Iμ*∣u∣q)∣u∣q−2u+(Iμ*∣u∣2μ,s*)∣u∣2μ,s*−2u,inRN,{\left(-{\Delta })}^{s}u=\lambda u+\alpha \left({I}_{{\mu }^{* }}\hspace{-0.25em}{| u| }^{q}){| u|
Lan Jiali, He Xiaoming, Meng Yuxi
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