Multiple solutions of nonlinear Schrödinger equation with the fractional Laplacian

2016 ◽  
Vol 30 ◽  
pp. 236-247 ◽  
Author(s):  
Bin Ge
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Multiple Solutions ◽  
Schrodinger Equation ◽  
Fractional Laplacian ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger

scholarly journals Multiple solutions for a modified quasilinear Schrödinger elliptic equation with a nonsquare diffusion term

2021 ◽  
Vol 26 (4) ◽  
pp. 702-717
Author(s):  
Xinguang Zhang ◽  
Lishan Liu ◽  
Yonghong Wu ◽  
Benchawan Wiwatanapataphee
Keyword(s):  
Elliptic Equation ◽  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Critical Points ◽  
Multiple Solutions ◽  
Schrodinger Equation ◽  
Nonlinear Schrodinger Equation ◽  
Diffusion Term ◽  
Dual Approach ◽  
Nonlinear Schrödinger

In this paper, we establish the results of multiple solutions for a class of modified nonlinear Schrödinger equation involving the p-Laplacian. The main tools used for analysis are the critical points theorems by Ricceri and the dual approach.

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