Existence and uniqueness for p-Laplace equations involving singular nonlinearities

We consider quasilinear elliptic equations involving the p -Laplacian and singular nonlinearities. We prove comparison principles and we deduce some uniqueness results.

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Bibliographic Details
Published inNonlinear differential equations and applications Vol. 23; no. 2
Main Authors Canino, Annamaria, Sciunzi, Berardino, Trombetta, Alessandro
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.04.2016
Springer Nature B.V
Subjects
Analysis
Elliptic functions
Laplace equation
Mathematical analysis
Mathematics
Mathematics and Statistics
Uniqueness
Laplace equations
35B51
Uniqueness of solutions
35J70
35J92
Existence of solutions
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Summary:We consider quasilinear elliptic equations involving the p -Laplacian and singular nonlinearities. We prove comparison principles and we deduce some uniqueness results.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:1021-9722
1420-9004
DOI:10.1007/s00030-016-0361-6