Existence of solutions for Hardy-Sobolev-Maz'ya systems

The main goal of this article is to investigate the existence of solutions for the Hardy-Sobolev-Maz'ya system $$displaylines{ -Delta u-lambda frac{u}{|y|^2}=frac{|v|^{p_t-1}}{|y|^t}v,quad hbox{in }Omega,cr -Delta v-lambda frac{v}{|y|^2}=frac{|u|^{p_s-1}}{|y|^s}u,quad hbox{in }Omega,cr u...

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Bibliographic Details
Main Authors: Jian Wang, Xin Wei
Format: Article
Language:English
Published: Texas State University 2012-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2012/115/abstr.html