The existence and multiplicity of solutions for general quasi-linear elliptic equations with sub-cubic nonlinearity

2022/09/11 by Huang, Chen, Zhang, Jianjun, Zhong, Xuexiu
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2209.04883

Abstract

We consider the existence and multiplicity of solutions for a class of quasi-linear Schrödinger equations which include the modified nonlinear Schrödinger equations. A new perturbation approach is used to treat the sub-cubic nonlinearity.

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