Article ID Journal Published Year Pages File Type
4626419 Applied Mathematics and Computation 2015 11 Pages PDF
Abstract

This paper is concerned with the following nonperiodic Hamiltonian elliptic system {−Δu+V(x)u=Hv(x,u,v)x∈RN,−Δv+V(x)v=Hu(x,u,v)x∈RN,u(x)→0,v(x)→0as|x|→∞,where z=(u,v):RN→R×R,z=(u,v):RN→R×R,N ≥ 3, and the potential V(x) is nonperiodic and sign-changing. By applying a generalized linking theorem for strongly indefinite functionals, we establish the existence of multiple solutions for asymptotically quadratic nonlinearity as well as the existence of infinitely many solutions for superquadratic nonlinearity.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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