Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4626419 | Applied Mathematics and Computation | 2015 | 11 Pages |
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
Authors
Wen Zhang, Jian Zhang, Fukun Zhao,