Resonant p-Laplacian problems with functional boundary conditions

Abstract

Abstract By constructing a suitable projection scheme and using the extension of Mawhin’s continuation theorem, the existence of solution for functional p-Laplacian boundary value problems at resonance is studied. The paper is a generalization of some current results to a fully nonlinear case.

Keywords

• Functional boundary conditions
• Resonance
• p-Laplacian
• Continuation theorems