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Infinitely many homoclinic solutions for a class of nonlinear difference equations [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2012 By using the Symmetric Mountain Pass Theorem, we establish some existence criteria to guarantee a class of nonlinear difference equation has infinitely many homoclinic orbits. Our conditions on the nonlinear term are rather relaxed and we generalize some
Peng Chen, Zhengmei Wang
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Multiple solutions for a quasilinear Choquard equation with critical nonlinearity
Open Mathematics, 2021 In the present work, we are concerned with the multiple solutions for quasilinear Choquard equation with critical nonlinearity in RN{{\mathbb{R}}}^{N}.
Li Rui, Song Yueqiang
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GENERAL QUASILINEAR PROBLEMS INVOLVING \(p(x)\)-LAPLACIAN WITH ROBIN BOUNDARY CONDITION
Ural Mathematical Journal, 2020 This paper deals with the existence and multiplicity of solutions for a class of quasilinear problems involving \(p(x)\)-Laplace type equation, namely $$ \left\{\begin{array}{lll} -\mathrm{div}\, (a(| \nabla u|^{p(x)})| \nabla u|^{p(x)-2} \nabla u ...
Hassan Belaouidel +2 more
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Existence and multiplicity of nontrivial solutions for poly-Laplacian systems on finite graphs
Boundary Value Problems, 2022 In this paper, we investigate the existence and multiplicity of nontrivial solutions for poly-Laplacian system on a finite graph G = ( V , E ) $G=(V, E)$ , which is a generalization of the Yamabe equation on a finite graph.
Xuechen Zhang +3 more
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Infinitely many solutions for the discrete Schrödinger equations with a nonlocal term
Boundary Value Problems, 2022 In the present paper, we consider the following discrete Schrödinger equations − ( a + b ∑ k ∈ Z | Δ u k − 1 | 2 ) Δ 2 u k − 1 + V k u k = f k ( u k ) k ∈ Z , $$ - \biggl(a+b\sum_{k\in \mathbf{Z}} \vert \Delta u_{k-1} \vert ^{2} \biggr) \Delta ^{2} u_{k ...
Qilin Xie, Huafeng Xiao
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Local minimizers in spaces of symmetric functions and applications [PDF]
, 2014 We study $H^1$ versus $C^1$ local minimizers for functionals defined on spaces of symmetric functions, namely functions that are invariant by the action of some subgroups of $\mathcal{O}(N)$.
Dos Santos +3 more
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Infinitely homoclinic solutions in discrete hamiltonian systems without coercive conditions
Journal of Numerical Analysis and Approximation Theory, 2020 In this paper, we investigate the existence of infinitely many solutions for the second-order self-adjoint discrete Hamiltonian system $$ \Delta\left[p(n)\Delta u(n-1)\right]-L(n)u(n)+\nabla W(n,u(n))=0, \tag{*} $$ where \(n\in\mathbb{Z}, u\in\mathbb{R}^
Fathi Khelifi
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Multiple normalized solutions for quasi-linear Schr\"odinger equations [PDF]
, 2015 In this paper we prove the existence of two solutions having a prescribed $L^2$-norm for a quasi-linear Schr\"odinger equation. One of these solutions is a mountain pass solution relative to a constraint and the other one a minimum either local or global.
Jeanjean, Louis +2 more
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Abstract and Applied Analysis, 2014 This paper is concerned with the existence and multiplicity of fast homoclinic solutions for a class of damped vibration problems with impulsive effects.
Qiongfen Zhang
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Existence and Multiplicity of Solutions for a Bi-Non-Local Problem
Mathematics, 2022 The aim of this paper is to investigate the existence and multiplicity of solutions for a bi-non-local problem. Precisely, we show that the above problem admits at least a non-trivial positive energy solution by using the mountain pass theorem ...
Jiabin Zuo +3 more
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