Positive solutions for a critical elliptic problem involving singular nonlinearity

We study the existence of positive solutions for a semi-linear elliptic equation involving both critical growth and singular nonlinearity. By applying the Nehari manifold and Lusternik-Schnirelmann category theory to an auxiliary problem, we prove the existence of multiple positive solutions.

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 498; no. 2; p. 124969
Main Authors Lei, Chunyu, Zheng, Tiantian, Fan, Haining
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.06.2021
Subjects
Critical exponents
Lusternik-Schnirelmann theory
Semilinear elliptic equation
Singularity
Singularity
Lusternik-Schnirelmann theory
Semilinear elliptic equation
Critical exponents
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Summary:We study the existence of positive solutions for a semi-linear elliptic equation involving both critical growth and singular nonlinearity. By applying the Nehari manifold and Lusternik-Schnirelmann category theory to an auxiliary problem, we prove the existence of multiple positive solutions.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2021.124969