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arXiv · 2209.04883

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

Chen Huang·Jianjun Zhang·Xuexiu Zhong
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Abstract

We consider the existence and multiplicity of solutions for a class of quasi-linear Schr\"{o}dinger equations which include the modified nonlinear Schr\"{o}dinger equations. A new perturbation approach is used to treat the sub-cubic nonlinearity.

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Chen Huang, Jianjun Zhang, Xuexiu Zhong. 2022-09-11. The existence and multiplicity of solutions for general quasi-linear elliptic equations with sub-cubic nonlinearity. https://arxiv.org/abs/2209.04883

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