p-fractional Kirchhoff equations involving critical nonlinearities

The paper deals with Kirchhoff type equations on the whole space RN, driven by the p-fractional Laplace operator, involving critical Hardy–Sobolev nonlinearities and nonnegative potentials. We present different variational approaches to overcome the lack of compactness at critical levels, due to the...

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Bibliographic Details
Published inNonlinear analysis: real world applications Vol. 35; pp. 350 - 378
Main Authors Fiscella, Alessio, Pucci, Patrizia
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier Ltd 01.06.2017
Elsevier BV
Subjects
Critical exponents
Hardy coefficients
Mathematical analysis
Mathematical problems
Nonlinear equations
Nonlocal [formula omitted]-Laplacian operators
Stationary Kirchhoff problems
Nonlocal p-Laplacian operators
Hardy coefficients
Stationary Kirchhoff problems
Critical exponents
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Summary:The paper deals with Kirchhoff type equations on the whole space RN, driven by the p-fractional Laplace operator, involving critical Hardy–Sobolev nonlinearities and nonnegative potentials. We present different variational approaches to overcome the lack of compactness at critical levels, due to the presence of critical terms as well as the possibly degenerate nature of the Kirchhoff problem.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1468-1218
1878-5719
DOI:10.1016/j.nonrwa.2016.11.004