An existence result for hemivariational inequalities. (English) Zbl 1161.49303
Summary: We present a general method for obtaining solutions for an abstract class of hemivariational inequalities. This result extends many results to the nonsmooth case. Our proof is based on a nonsmooth version of the Mountain Pass Theorem with Palais-Smale or with Cerami compactness condition. We also use the Principle of Symmetric Criticality for locally Lipschitz functions.
MSC:
49J40 | Variational inequalities |
35J85 | Unilateral problems; variational inequalities (elliptic type) (MSC2000) |