On Neumann elliptic problems with discontinuous nonlinearities. (English) Zbl 1090.35517

Halidias, Nikolaos

Arch. Math., Brno 37, No. 1, 25-31 (2001).

Summary: 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 F. Clarke.

MSC:

35J15	Second-order elliptic equations
35J20	Variational methods for second-order elliptic equations

Keywords:

Neumann elliptic problems; variational method; locally Lipschitz functional; \(p\)-Laplacian