Existence of weak solutions for a class of ( p , q ) $(p,q)$ -Laplacian systems

Abstract

Abstract The existence of weak solutions for a class of ( p , q ) $(p,q)$ -Laplacian systems is obtained by using a new linking theorem on the product space W 0 1 , p ( Ω ) × W 0 1 , q ( Ω ) $W^{1,p}_{0}(\Omega)\times W^{1,q}_{0}(\Omega)$ .

Keywords

• ( p , q ) $(p,q)$ -Laplacian systems
• compactness condition
• linking theorem
• nonquadraticity condition