On nonquadratic Hamiltonian elliptic systems
type: Item
instance of: scholarly article
title: On nonquadratic Hamiltonian elliptic systems
zbMATH Open document ID: 0857.35043
author: Yanyan Li
published in: Advances in Differential Equations
publication date: 1997-03-09T00:00:00Z
review text: The authors prove existence of a nontrivial solution for a Hamiltonian system of the form \[ -\Delta u=\delta u+\gamma v+{{\partial H}\over{\partial v}}(x,u,v), \quad -\Delta v=\lambda u+\delta v+{{\partial H}\over{\partial u}}(x,u,v), \qquad\text{in }\Omega, \] subject to Dirichlet boundary conditions. The method used is a generalized mountain pass theorem for indefinite functionals due to Benci-Rabinowitz in a version introduced by Felmer.
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 35J50
zbMATH DE Number: 896503
zbMATH Keywords: existence
zbMATH Keywords: generalized mountain pass theorem
reviewed by: Zongyi Hou
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 896503