Existence of solutions for a nonlinear problem at resonance

Abstract

In this work, we are interested at the existence of nontrivial solutions for a nonlinear elliptic problem with resonance part and nonlinear boundary conditions. Our approach is variational and is based on the well-known Landesman-Laser-type conditions.

Keywords

• p-laplacian
• nonlinear boundary condition
• landesman-lazer-type conditions
• resonance
• 35a15
• 35j92
• 35p30