Existence of solutions for hyperbolic hemivariational inequalities
Authors:
Leszek Gasiński
Affiliation:
Institute of Computer Science, Jagiellonian University, ul. Nawojki 11, 30072 Cracow, Poland
Abstract:
In this paper we study a hyperbolic hemivariational inequality with a nonlinear, pseudomonotone operator depending on the derivative of an unknown function and a linear, monotone operator depending on an unknown function. Using the surjectivity result for L-pseudomonotone operators, an existence result for such inequalities is proved.