Nonlinear elliptic equations involving the p-Laplacian with mixed Dirichlet-Neumann boundary conditions

Abstract

In this paper, a nonlinear differential problem involving the \(p\)-Laplacian operator with mixed boundary conditions is investigated. In particular, the existence of three non-zero solutions is established by requiring suitable behavior on the nonlinearity. Concrete examples illustrate the abstract results.

Keywords

• mixed problem
• critical points