Results 1 to 10 of about 265 (30)
Landesman-Lazer condition revisited: the influence of vanishing and oscillating nonlinearities [PDF]
, 2015 In this paper we deal with semilinear problems at resonance. We present a sufficient condition for the existence of a weak solution in terms of the asymptotic properties of nonlinearity.
Drabek, Pavel, Langerova, Martina
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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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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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Critical Points for Elliptic Equations with Prescribed Boundary Conditions [PDF]
, 2017 This paper concerns the existence of critical points for solutions to second order elliptic equations of the form $\nabla\cdot \sigma(x)\nabla u=0$ posed on a bounded domain $X$ with prescribed boundary conditions. In spatial dimension $n=2$, it is known
Alberti, Giovanni S. +2 more
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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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MULTIPLICITY OF SOLUTIONS TO DISCRETE INCLUSIONS WITH THE p(k)-LAPLACE KIRCHHOFF TYPE EQUATIONS
, 2018 . This paper is concerned with the existence and multiplicity of solutions to discrete inclusions with an anisotropic discrete boundary value problem of p(k)-Laplace Kirchhoff type. Our technical approach is based on variational methods. 2010 Mathematics
S. Ouaro, Malick Zoungrana
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Weak homoclinic solutions of anisotropic difference equation with variable exponents
Advances in Differential Equations, 2012 In this paper, we prove the existence of homoclinic solutions for a family of anisotropic difference equations. The proof of the main result is based on a minimization method and a discrete Hölder type inequality. MSC:47A75, 35B38, 35P30, 34L05, 34L30.
A. Guiro, B. Kone, S. Ouaro
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Weak homoclinic solutions to discrete nonlinear problems of Kirchhoff type with variable exponents
, 2017 In this paper, we prove the existence of weak homoclinic solutions for discrete nonlinear problems of Kirchhoff type. The proof of the main result is based on a minimization method. As extension, we prove the existence result of weak homoclinic solutions
A. Guiro, I. Ibrango, S. Ouaro
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Boundary Value Problems, 2012 In this article, we mainly construct multiple blowing-up and concentrating solutions for a class of Liouville-type equations under mixed boundary conditions: -Δv=ε2ev-4π∑i=1Nαiδpi,inΩ,ε(1-t)∂v∂ν+tb(x)v=0,on∂Ω, for ε small, where t∈(0,1],N∈ℕ∪{0},{α1,α2 ...
Yibin Chang, Hai-tao Yang
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