## Topological Methods in Nonlinear Analysis

### Multiplicity of solutions for $p$-Laplacian type elliptic problems with electromagnetic fields and critical nonlinearity

Zhongyi Zhang

#### Abstract

We consider a class of $p$-Laplacian type elliptic problems with electromagnetic fields and critical nonlinearity in bounded domains. New results about the existence and multiplicity of solutions to these problems are obtained by using the concentration-compactness principle and variational method.

#### Article information

Source
Topol. Methods Nonlinear Anal., Volume 48, Number 1 (2016), 115-129.

Dates
First available in Project Euclid: 30 September 2016

https://projecteuclid.org/euclid.tmna/1475266374

Digital Object Identifier
doi:10.12775/TMNA.2016.037

Mathematical Reviews number (MathSciNet)
MR3561425

Zentralblatt MATH identifier
1371.35137

#### Citation

Zhang, Zhongyi. Multiplicity of solutions for $p$-Laplacian type elliptic problems with electromagnetic fields and critical nonlinearity. Topol. Methods Nonlinear Anal. 48 (2016), no. 1, 115--129. doi:10.12775/TMNA.2016.037. https://projecteuclid.org/euclid.tmna/1475266374

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