Positive solutions of fractional elliptic equation with critical and singular nonlinearity

In this article, we study the following fractional elliptic equation with critical growth and singular nonlinearity: where Ω is a bounded domain in with smooth boundary , , , , and . We use variational methods to show the existence and multiplicity of positive solutions with respect to the parameter...

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Bibliographic Details
Published inAdvances in nonlinear analysis Vol. 6; no. 3; pp. 327 - 354
Main Authors Giacomoni, Jacques, Mukherjee, Tuhina, Sreenadh, Konijeti
Format Journal Article
LanguageEnglish
Published De Gruyter 01.08.2017
Subjects
35A15
35R09
35R11
Algebraic Geometry
Analysis of PDEs
Dynamical Systems
fractional Laplacian
Mathematics
Nonlocal operator
Numerical Analysis
Optimization and Control
Probability
Statistics
very singular nonlinearities, variational methods in non smooth analysis
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ISSN2191-9496
2191-950X
2191-950X
DOI10.1515/anona-2016-0113

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Summary:In this article, we study the following fractional elliptic equation with critical growth and singular nonlinearity: where Ω is a bounded domain in with smooth boundary , , , , and . We use variational methods to show the existence and multiplicity of positive solutions with respect to the parameter λ.
ISSN:2191-9496
2191-950X
2191-950X
DOI:10.1515/anona-2016-0113