Generalized evolution variational inequalities and their applications to partial differential equations

Abstract

We study the existence of solutions to generalized evolution vari ational inequalities by pseudomonotone mapping theory. We obtain results which generalize and extend previously known theorems. We then apply our results to parabolic partial differential equations with discontinuous nonlinearities.

Keywords:

• Generalized evolution variational inequalities
• existence results
• multivalued mappings

AMS:

• 49J40
• 47H19