Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6419194 | Journal of Mathematical Analysis and Applications | 2013 | 12 Pages |
Abstract
This paper is concerned with the following nonperiodic Hamiltonian elliptic system {âε2â³u+V(x)u=Hu(x,u,v)inRN,âε2â³v+V(x)v=âHv(x,u,v)inRN,u(x)â0andv(x)â0as|x|ââ, where ε>0 is a small parameter, and the potential V is bounded below, and H is asymptotically linear in z as |z|ââ with z=(u,v). By applying a generalized linking theorem of strongly indefinite functionals, we obtain the existence of multiple semiclassical solutions for the above system.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Lu Xiao, Jun Wang, Ming Fan, Fubao Zhang,