Nontrivial solutions for a class of Hamiltonian elliptic system with gradient term

DOI10.1016/j.aml.2019.05.035zbMath1431.35036OpenAlexW2948868994WikidataQ127791244 ScholiaQ127791244MaRDI QIDQ2275170

Wen Zhang, Fang-Fang Liao

Publication date: 2 October 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2019.05.035

zbMATH Keywords

variational methodslocal super-quadratic condition on the nonlinearitynonlinear Hamiltonian elliptic system

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47)

Related Items (2)

Homoclinic orbits for first-order Hamiltonian system with local super-quadratic growth condition ⋮ Ground states and multiple solutions for Hamiltonian elliptic system with gradient term

Cites Work

• Ground state solutions for Hamiltonian elliptic system with inverse square potential
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• Existence and concentration of semiclassical solutions for Hamiltonian elliptic system
• Solutions of a class of Hamiltonian elliptic systems in \(\mathbb R^N\)
• Minimax theorems
• On semiclassical ground states for Hamiltonian elliptic system with critical growth
• New conditions on ground state solutions for Hamiltonian elliptic systems with gradient terms
• Ground-state solutions for superquadratic Hamiltonian elliptic systems with gradient terms
• AN ASYMPTOTICALLY PERIODIC SCHRÖDINGER EQUATION WITH INDEFINITE LINEAR PART
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