Combined effects of singular and critical nonlinearities in elliptic problems

By Xing Wang, Lin Zhao, P. Zhao. 2013

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Abstract In this paper we consider the existence and multiplicity of positive weak solutions for a class of elliptic problems with the nonlinearity containing both singular and critical terms. By means of the concentration compactness principle due to Lions and Ekeland’s variational principle, two positive weak solutions are obtained.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/ec994759520f825d9c6ee3d9f2b7275d97a58dff