Existence and uniqueness results of positive solutions for nonvariational quasilinear elliptic systems

We provide conditions for the existence and uniqueness of positive solutions to the quasilinear elliptic system $$displaylines{ -Delta _{p}u=f(x,u,v) cr -Delta _{q}v=g(x,u,v) }$$ with Dirichlet boundary conditions on a bounded domain $Omega subseteq mathbb{R}^N$.

Bibliographic Details
Main Authors: Dimitrios A. Kandilakis, Nikolaos E. Sidiropoulos
Format: Article
Language:English
Published: Texas State University 2006-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2006/84/abstr.html