Results 21 to 30 of about 472 (105)
Existence of positive ground states for some nonlinear Schrödinger systems
Boundary Value Problems, 2013 We prove the existence of positive ground states for the nonlinear Schrödinger system {−Δu+(1+a(x))u=Fu(u,v)+λv,−Δv+(1+b(x))v=Fv(u,v)+λu, where a, b are periodic or asymptotically periodic and F satisfies some superlinear conditions in (u,v). The proof
Hui Zhang, Junxiang Xu, Fubao Zhang
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Multiple solutions for p-Laplacian systems with critical homogeneous nonlinearity
Boundary Value Problems, 2012 In this article, we deal with existence and multiplicity of solutions to the p-Laplacian system of the type -Δpu=1p*∂F(x,u,v)∂u+λuq-2u,x∈Ω,-Δpv=1p*∂F(x,u,v)∂v+δvq-2v,x∈Ω,u=v=0,x∈∂Ω, where Ω ⊂ ℝNis a bounded domain with ...
Dengfeng Lü
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The Weak Galerkin Method for Elliptic Eigenvalue Problems
Communications in Computational Physics, 2019 This article is devoted to studying the application of the weak Galerkin (WG) finite element method to the elliptic eigenvalue problem with an emphasis on obtaining lower bounds.
Q. Zhai
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Multiplicity result for a critical elliptic system with concave-convex nonlinearities
Boundary Value Problems, 2013 We study the existence of multiple solutions of a strongly indefinite elliptic system involving the critical Sobolev exponent and concave-convex nonlinearities.
C. J. Batkam, F. Colin
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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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Multiple positive solutions for quasilinear elliptic problems with sign‐changing nonlinearities
Abstract and Applied Analysis, Volume 2004, Issue 12, Page 1047-1055, 2004., 2004 Using variational arguments, we prove some nonexistence and multiplicity results for positive solutions of a system of p‐Laplace equations of gradient form. Then we study a p‐Laplace‐type problem with nonlinear boundary conditions.
Julián Fernández Bonder
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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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Advances in Nonlinear Analysis, 2022 In this article, we study a Hardy-Sobolev critical elliptic system involving coupled perturbation terms: (0.1)−Δu+V1(x)u=η1η1+η2∣u∣η1−2u∣v∣η2∣x′∣+αα+βQ(x)∣u∣α−2u∣v∣β,−Δv+V2(x)v=η2η1+η2∣v∣η2−2v∣u∣η1∣x′∣+βα+βQ(x)∣v∣β−2v∣u∣α,\left\{\begin{array}{c}-\Delta u+
Wang Lu Shun, Yang Tao, Yang Xiao Long
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A note on the variational structure of an elliptic system involving critical Sobolev exponent
Journal of Applied Mathematics, Volume 2003, Issue 5, Page 227-241, 2003., 2003 We consider an elliptic system involving critical growth conditions. We develop a technique of variational methods for elliptic systems. Using the well‐known results of maximum principle for systems developed by Fleckinger et al. (1995), we can find positive solutions.
Mario Zuluaga
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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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