On Standing Wave Solutions for Discrete Nonlinear Schrödinger Equations
Abstract and Applied Analysis, 2013 The purpose of this paper is to study a class of discrete nonlinear Schrödinger equations. Under a weak superlinearity condition at infinity instead of the classical Ambrosetti-Rabinowitz condition, the existence of standing waves of the equations is ...
Guowei Sun
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Multiple positive solutions for Kirchhoff problems with sign-changing potential
Electronic Journal of Differential Equations, 2015 In this article, we study the existence and multiplicity of positive solutions for a class of Kirchhoff type equations with sign-changing potential. Using the Nehari manifold, we obtain two positive solutions.
Gao-Sheng Liu +3 more
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Infinitely Many Nontrivial Solutions of Resonant Cooperative Elliptic Systems with Superlinear Terms
Abstract and Applied Analysis, 2014 We study a class of resonant cooperative elliptic systems and replace the Ambrosetti-Rabinowitz superlinear condition with general superlinear conditions.
Guanwei Chen, Shiwang Ma
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The Nehari manifold approach for singular equations involving the p(x)-Laplace operator [PDF]
, 2021 Dušan Repovš, Kamel Saoudi
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Existence of Solutions for Nonhomogeneous Choquard Equations Involving p-Laplacian
Mathematics, 2019 This paper is devoted to investigating a class of nonhomogeneous Choquard equations with perturbation involving p-Laplacian. Under suitable hypotheses about the perturbation term, the existence of at least two nontrivial solutions for the given problems ...
Xiaoyan Shi, Yulin Zhao, Haibo Chen
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Electronic Journal of Qualitative Theory of Differential Equations, 2012 In this paper, the existence and multiplicity of positive solutions for a critical singular elliptic system with concave and convex nonlinearity and sign-changing weight function, are established.
Huixing Zhang
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A Note on the Minimal Period Problem for Second Order Hamiltonian Systems
Abstract and Applied Analysis, 2014 We study periodic solutions of second order Hamiltonian systems with even potential. By making use of generalized Nehari manifold, some sufficient conditions are obtained to guarantee the multiplicity and minimality of periodic solutions for second order
Huafeng Xiao
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NON-NEHARI MANIFOLD METHOD FOR SUPERLINEAR SCHRÖDINGER EQUATION [PDF]
, 2014 Xianhua Tang
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Multiplicity of Positive Solutions of laplacian systems with sign-changing weight functions
Sahand Communications in Mathematical Analysis, 2014 In this paper, we study the multiplicity of positive solutions for the Laplacian systems with sign-changing weight functions. Using the decomposition of the Nehari manifold, we prove that an elliptic system has at least two positive solutions.
Seyyed Sadegh Kazemipoor +1 more
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Existence of positive ground solutions for biharmonic equations via Pohožaev-Nehari manifold [PDF]
, 2018 Liping Xu, Haibo Chen
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