A compactness result for quasilinear elliptic equations by mountain pass techniques

Abstract

A class of solutions to some quasilinear elliptic equations is considered. Some estimates due to some Mountain Pass techniques allow to obtain a compactness result for this class of solutions, with a suitable continuous dependence on the data.

Keywords

• quasilinear elliptic equations
• mountain pass techniques
• iteration methods
• continuous dependence of the solutions on the data