Multiple positive solutions of saturable nonlinear Schr?dinger equations with intensity functions
Journal
Discrete and Continuous Dynamical Systems- Series A
Journal Volume
40
Journal Issue
4
Pages
2165-2187
Date Issued
2020
Author(s)
Wu, T.-F.
Abstract
In this paper, we study saturable nonlinear Schrödinger equations with nonzero intensity function which makes the nonlinearity become not superlinear near zero. Using the Nehari manifold and the Lusternik-Schnirelman category, we prove the existence of multiple positive solutions for saturable nonlinear Schrödinger equations with nonzero intensity function which satisfies suitable conditions. The ideas contained here might be useful to obtain multiple positive solutions of the other non-homogeneous nonlinear elliptic equations.
Type
journal article