Multiple solutions for a class of fractional equations

Abstract

In this paper we study a class of fractional Laplace equations with asymptotically linear right-hand side. The existence results of three nontrivial solutions under the resonance and non-resonance conditions are established by using the minimax method and Morse theory.

Keywords

• fractional laplacian
• multiple solutions
• asymptotically linear
• mountain pass theorem
• morse theory