Existence of solutions for non-uniformly nonlinear elliptic systems

Using a variational approach, we prove the existence of solutions for the degenerate quasilinear elliptic system $$displaylines{ -hbox{div}(u_1 (x)|abla u|^{p-2} abla u) =lambda F_u(x,u,v)+mu G_u(x,u,v),cr -hbox{div}(u_2 (x)|abla v|^{q-2} abla v) =lambda F_v(x,u,v)+mu G_v(x,u,v), }$$ with Di...

Full description

Bibliographic Details
Main Authors: Ghasem Alizadeh Afrouzi, Somayeh Mahdavi, Nikolaos B. Zographopoulos
Format: Article
Language:English
Published: Texas State University 2011-12-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2011/167/abstr.html