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

Zhongyi Zhang

DOI: http://dx.doi.org/10.12775/TMNA.2016.037

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.

Keywords


p-Laplacian type problem; magnetic fields; critical growth; concentration-compactness principle; variational method

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