Some remarks on a system of quasilinear elliptic equations

Abstract

We study the existence of critical points (minima and saddle points) of functionals of the type Φ(u,v) = 1/p ∫Ω |u|p + 1/q ∫Ω |v|q - ∫Ω F(x,u,v), where p and q are real numbers larger than 1. 2000 Mathematics Subject Classification: 35J60, 35J20, 58E30