Existence and multiplicity of solutions for generalized asymptotically linear Schrödinger-Kirchhoff equations

Abstract

In this paper, we investigate the nonlinear Schrödinger-Kirchhoff equations on the whole space. By using the Morse index of the reduced Schrödinger operator, we show the existence and multiplicity of solutions for this problem with asymptotically linear nonlinearity via variational methods.

Keywords

• schrödinger-kirchhoff equation
• morse index
• variational method