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      Solutions for a Class of Nonperiodic Superquadratic Hamiltonian Elliptic Systems Involving Gradient Terms

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      Discrete Dynamics in Nature and Society
      Hindawi Limited

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          Abstract

          In the present paper, we consider the following Hamiltonian elliptic system (HES): -Δu+b(x)·u+V(x)u=Hv(x,u,v),xRN, -Δv-b(x)·v+V(x)v=Hu(x,u,v),xRN. A new existence result of nontrivial solutions is obtained for the system (HES) via variational methods for strongly indefinite problems, which generalizes some known results in the literatures.

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          Symmetry Results for Semilinear Elliptic Systems in the Whole Space

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            Homoclinic Orbits for Asymptotically Linear Hamiltonian Systems

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              Nontrivial solution of a semilinear schrödinger equation

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                Author and article information

                Journal
                Discrete Dynamics in Nature and Society
                Discrete Dynamics in Nature and Society
                Hindawi Limited
                1026-0226
                1607-887X
                2017
                2017
                : 2017
                :
                : 1-15
                Article
                10.1155/2017/9125486
                b4c326e2-8caf-42d4-8fbd-a9789e5df72b
                © 2017

                http://creativecommons.org/licenses/by/4.0/

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