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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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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Solitary Waves of the Schrödinger Lattice System with Nonlinear Hopping
Journal of Function Spaces, 2015 This paper is concerned with the nonlinear Schrödinger lattice with nonlinear hopping. Via variation approach and the Nehari manifold argument, we obtain two types of solution: periodic ground state and localized ground state.
Ming Cheng
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Existence and multiplicity of positive solutions for indefinite semilinear elliptic problems in R^N
Electronic Journal of Differential Equations, 2014 In this article, we study a class of indefinite semilinear elliptic problems in R^N. By using the fibering maps and studying some properties of the Nehari manifold, we obtain the existence and multiplicity of positive solutions.
Yi-Hsin Cheng, Tsung-Fang Wu
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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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Doubly nonlocal system with Hardy-Littlewood-Sobolev critical nonlinearity
, 2017 This article concerns about the existence and multiplicity of weak solutions for the following nonlinear doubly nonlocal problem with critical nonlinearity in the sense of Hardy-Littlewood-Sobolev inequality \begin{equation*} \left\{ \begin{split ...
Giacomoni, J. +2 more
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