Fredholm alternative, semilinear elliptic problems, and Wentzell boundary conditions

Abstract

We give necessary and sufficient conditions for the solvability of some semilinear elliptic boundary value problems involving the Laplace operator with linear and nonlinear highest order boundary conditions involving the Laplace-Beltrami operator.

23 pages. This paper predates the version on the p-Laplacian (see arXiv:1105.3870)

Cited by in corpus (1)

• Nonlinear elliptic problems with dynamical boundary conditions of reactive and reactive-diffusive type