On some nonlinear equations involving the _p-laplacian with critical sobolev growth and perturbation terms

Abstract

Let Ω be a smooth bounded domain in Rⁿ, let a, f and h be smooth functions on , and let and be two real numbers, where . We are concerned here with the existence of solutions } positive or not, to the problem

General existence results and specific existence results in the presence of symmetries are obtained.

Keywords:

• Critical Sobolev exponent
• mountain pass theorem
• _p-Laplace operator