Elliptic problems with nonmonotone discontinuities at resonance.
On Neumann hemivariational inequalities.
Erratum on: ``On Neumann elliptic problems with discontinuous nonlinearities'' [Arch. Math. (Brno) 37 (2001), no. 1, 25--31]
On Neumann elliptic problems with discontinuous nonlinearities
In this paper we study a class of nonlinear Neumann elliptic problems with discontinuous nonlinearities. We examine elliptic problems with multivalued boundary conditions involving the subdifferential of a locally Lipschitz function in the sense of Clarke.
A nontrivial solution for Neumann noncoercive hemivariational inequalities
In this paper we consider Neumann noncoercive hemivariational inequalities, focusing on nontrivial solutions. We use the critical point theory for locally Lipschitz functionals.
Quasilinear elliptic problems with multivalued terms
We study the quasilinear elliptic problem with multivalued terms.We consider the Dirichlet problem with a multivalued term appearing in the equation and a problem of Neumann type with a multivalued term appearing in the boundary condition. Our approach is based on Szulkin’s critical point theory for lower semicontinuous energy functionals.
Existence of solutions for nonlinear parabolic problems
We consider nonlinear parabolic boundary value problems. First we assume that the right hand side term is discontinuous and nonmonotone and in order to have an existence theory we pass to a multivalued version by filling in the gaps at the discontinuity points. Assuming the existence of an upper solution and of a lower solution such that , and using the theory of nonlinear operators of monotone type, we show that there exists a solution and that the set of all such solutions is compact in...
Second order multivalued boundary value problems
Existence theorems for nonlinear elliptic problems.
Unilateral boundary value problems with jump discontinuities.
On a class of variational-hemivariational inequalities.
An Orlicz-Sobolev space setting for quasilinear elliptic problems.
A note on strong solutions of stochastic differential equations with a discontinuous drift coefficient.
Multiple solutions for quasilinear elliptic Neumann problems in Orlicz-Sobolev spaces.
Nonconvex evolution inclusions generated by time-dependent subdifferential operators.
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