Results 1 to 10 of about 76 (60)
Nontrivial solutions of discrete Kirchhoff-type problems via Morse theory
Advances in Nonlinear Analysis, 2022 In this article, we study discrete Kirchhoff-type problems when the nonlinearity is resonant at both zero and infinity. We establish a series of results on the existence of nontrivial solutions by combining variational method with Morse theory.
Long Yuhua
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Boundary Value Problems, 2012 In this article, we study the nonlocal p(x)-Laplacian problem of the following form a(∫Ω1p(x)(|∇u|p(x)+|u|p(x))dx)(-div(|∇u|p(x)-2∇u)+|u|p(x)-2u)=b(∫ΩF(x,u)dx)f(x,u)inΩa∫Ω1p(x)(|∇u|p(x)+|u|p(x))dx|∇u|p(x)-2∂u∂ν=g(x,u)on∂Ω, where Ω is a smooth bounded ...
Erlin Guo, P. Zhao
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Three solutions for discrete anisotropic Kirchhoff-type problems
Demonstratio Mathematica, 2023 In this article, using critical point theory and variational methods, we investigate the existence of at least three solutions for a class of double eigenvalue discrete anisotropic Kirchhoff-type problems.
Bohner Martin +3 more
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Advances in Nonlinear Analysis, 2022 Time-fractional partial differential equations are nonlocal-in-time and show an innate memory effect. Previously, examples like the time-fractional Cahn-Hilliard and Fokker-Planck equations have been studied.
Fritz Marvin +2 more
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A Generalized Version of the Lions-Type Lemma
Annales Mathematicae Silesianae, 2023 In this short paper, I recall the history of dealing with the lack of compactness of a sequence in the case of an unbounded domain and prove the vanishing Lions-type result for a sequence of Lebesgue-measurable functions.
Chmara Magdalena
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Moroccan Journal of Pure and Applied Analysis, 2023 We investigate the existence of non-trivial weak solutions for the following p(x)-Kirchhoff bi-nonlocal elliptic problem driven by both p(x)-Laplacian and p(x)-Biharmonic operators {M(σ)(Δp(x)2u-Δp(x)u)=λϑ(x)|u|q(x)-2u(∫Ωϑ(x)q(x)|u|q(x)dx)r in Ω,u∈W2,p(.)
Jennane Mohsine, Alaoui My Driss Morchid
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Symmetric results of a Hénon-type elliptic system with coupled linear part
Open Mathematics, 2022 In this article, we study the elliptic system: −Δu+μ1u=∣x∣αu3+λv,x∈Ω−Δv+μ2v=∣x∣αv3+λu,x∈Ωu,v>0,x∈Ω,u=v=0,x∈∂Ω,\left\{\begin{array}{ll}-\Delta u+{\mu }_{1}u=| x\hspace{-0.25em}{| }^{\alpha }{u}^{3}+\lambda v,& x\in \Omega \\ -\Delta v+{\mu }_{2}v=| x ...
Lou Zhenluo, Li Huimin, Zhang Ping
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Boundary Value Problems, 2013 In this paper, we consider the existence of solutions for nonlinear impulsive differential equations with Dirichlet boundary conditions. Infinitely many solutions are obtained by using a version of the symmetric mountain-pass theorem, and this sequence ...
Chenxing Zhou, Fenghua Miao, Sihua Liang
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Existence and multiplicity of solutions for nonlocal p(x)-Laplacian problems in RN
Boundary Value Problems, 2012 In this paper, we study the nonlocal p(x)-Laplacian problem of the following form {M(∫RN1p(x)(|∇u|p(x)+|u|p(x))dx)(−div(|∇u|p(x)−2∇u)+|u|p(x)−2u)=f(x,u)inRN,u∈W1,p(⋅)(RN).
Erlin Guo, P. Zhao
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EXISTENCE AND MULTIPLICITY OF NONTRIVIAL SOLUTIONS FOR KLEIN-GORDON-MAXWELL SYSTEM WITH A PARAMETER
, 2017 . This paper is concerned with the following Klein-Gordon-Maxwell system: where ω > 0 is a constant and λ is the parameter. Under some suitable assumptions on V ( x ) and f ( x,u ), we establish the existence and multiplicity of nontrivial solutions of ...
Guofeng Che, Haibo Chen
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