Multiple Critical Points for Symmetric Functionals without upper Growth Condition on the Principal Part

Abstract

This paper is concerned with variational methods applied to functionals of the calculus of variations in a multi-dimensional case. We prove the existence of multiple critical points for a symmetric functional whose principal part is not subjected to any upper growth condition. For this purpose, nonsmooth variational methods are applied.

Keywords

• calculus of variations
• quasilinear elliptic equations
• nonsmooth variational methods