Existence of Nontrivial Solutions for Perturbed Elliptic System in ℝN

Juan Jiang

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We consider the perturbed nonlinear elliptic system -ε2Δu+V(x)u=K(x)|u|2*-2u+Hu(u,v), x∈ℝN, -ε2Δv+V(x)v=K(x)|v|2*-2v+Hv(u,v), x∈ℝN, where N ≥ 3, 2* = 2N/(N − 2) is the Sobolev critical exponent. Under proper conditions on V, H, and K, the existence result and multiplicity of the system are obtained by using variational method provided ε is small enough.

Date: 2014
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2014/252438

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:252438

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().