Elliptic variational hemivariational inequalities

On Variational and Hemivariational Inequalities Author

Advances in Variational and Hemivariational Inequalities

We consider a nonlinear Dirichlet parametric problem with discontinuous right hand side in which we have a competing effect of sub and superlinear nonlinearities. A bifurcation type result is studied when the parameter tends to zero.

Recession Methods in Monotone Variational Hemivariational Inequalities

Throughout the paper we use standard notations except special symbols introduced when they are defined. All spaces considered are Banach spaces whose norms are always denoted by ‖ · ‖. For any space V we consider its dual space V ? equipped with the strong topology. We denote by 〈·, ·〉 the duality pairing between V and V . Let f : V → R ∪ {∞} be an extended-real-valued function. Identifying ext...

Domain Identification Problem for Elliptic Hemivariational Inequalities

The domain identification problems for the elliptic hemivariational inequalities are studied. These problems are formulated as the optimal control problems with admissible domains as controls. The existence of optimal shapes is obtained by the direct method of calculus of variations for a l.s.c. cost functional.

On a Type of Hyperbolic Variational–hemivariational Inequalities

We consider a hyperbolic variational–hemivariational initial value problem on a vector valued functions space. Using a regularization procedure and a Barbu result we obtain an existence result for a problem independent on u′.