Multiplicity of positive solutions for a degenerate nonlocal problem with p-Laplacian

Abstract

We consider a nonlinear boundary value problem with degenerate nonlocal term depending on the Lq-norm of the solution and the p-Laplace operator. We prove the multiplicity of positive solutions for the problem, where the number of solutions doubles the number of “positive bumps” of the degenerate term. The solutions are also ordered according to their Lq-norms.

Keywords

• nonlocal problems
• p-laplacian
• sign-changing coefficient
• multiple fixed points
• 35j20
• 35j25
• 35q74