Multiple solutions for asymptotically quadratic and superquadratic elliptic system of Hamiltonian type

DOI10.1016/j.amc.2015.03.108zbMath1410.35032OpenAlexW311364054MaRDI QIDQ1663550

Fukun Zhao, Wen Zhang, Jian Zhang

Publication date: 21 August 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.03.108

zbMATH Keywords

variational methodsstrongly indefinite functionalssign-changing potentialgeneralized linking theoremHamiltonian elliptic system

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for elliptic systems (35J50) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) Boundary value problems for second-order elliptic systems (35J57)

Related Items (8)

Hamiltonian systems of Schrödinger equations with vanishing potentials ⋮ Ground state solutions of Nehari-Pankov type for a superlinear elliptic system on RN ⋮ Critical and subcritical fractional Hamiltonian systems of Schrödinger equations with vanishing potentials ⋮ Existence and asymptotic behavior of positive ground state solutions for coupled nonlinear fractional Kirchhoff-type systems ⋮ Ground state solutions for resonant cooperative elliptic systems with general superlinear terms ⋮ Existence and multiplicity of solutions for semilinear elliptic systems with periodic potential ⋮ Nontrivial solutions for an elliptic system of Hamiltonian type ⋮ Ground state solutions for Hamiltonian elliptic systems with super or asymptotically quadratic nonlinearity

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