Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774664 | Journal of Mathematical Analysis and Applications | 2018 | 22 Pages |
Abstract
In this paper we study the existence of solution for the following class of elliptic systems(P){âÎu=(aââ«Î©K(x,y)f(u,v)dy)u+bv,inΩâÎv=(dââ«Î©Î(x,y)g(u,v)dy)v+cu,inΩu=v=0,onâΩ where ΩâRN is a smooth bounded domain, Nâ¥1, and K,Î:ΩÃΩâR are nonnegative functions satisfying some hypotheses and a,b,c,dâR. The functions f and g satisfy some conditions which permit to use Bifurcation Theory to prove the existence of solution for (P).
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Romildo N. de Lima, Marco A.S. Souto,