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arxiv: 2209.04883 · v1 · pith:CQOG663Onew · submitted 2022-09-11 · 🧮 math.AP

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

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keywords equationsdingerexistencemultiplicitynonlinearityquasi-linearschrsolutions
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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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