Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4635555 | Applied Mathematics and Computation | 2007 | 11 Pages |
Abstract
In this paper, we study the nonlinear boundary value problem-Δu+u=fu(u,v)inΩ,-Δv+v=fv(u,v)inΩ,∂u∂n=gu(u,v),∂v∂n=gv(u,v)on∂Ω,where Ω is a bounded domain in RNRN with smooth boundary and the pairs of (fu,fv)(fu,fv) and (gu,gv)(gu,gv) are subcritical nonlinearities. With the help of the Nehari manifold, we show existence of at least two positive solutions when one of the pairs of (fu,fv)(fu,fv) and (gu,gv)(gu,gv) is sublinear and the other one superlinear.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Tsung-fang Wu,