Maximum principle and existence of positive solutions for nonlinear systems involving degenerate p-Laplacian operators

We study the maximum principle and existence of positive solutions for the nonlinear system egin{gather*} -Delta _{p,_{P}}u=a(x)|u|^{p-2}u+b(x)|u|^{alpha }|v|^{eta }v+f quad ext{in } Omega , \ -Delta _{Q,q}v=c(x)|u|^{alpha }|v|^{eta }u+d(x)|v|^{q-2}v+g quad ext{in } Omega , \ u=v=0 quad ext{on }p...

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Bibliographic Details
Main Authors: Salah A. Khafagy, Hassan M. Serag
Format: Article
Language:English
Published: Texas State University 2007-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2007/66/abstr.html