The Nehari manifold for a ψ-Hilfer fractional p-Laplacian

In this paper, we discuss the existence and non-existence of weak solutions to the non-linear problem with a fractional p-Laplacian introduced by the ψ-Hilfer fractional operator, by combining the technique of Nehari manifolds and fibering maps. Also, we obtain some results on the ψ-Hilfer fractiona...

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Published inApplicable analysis Vol. 101; no. 14; pp. 5076 - 5106
Main Authors Sousa, J. Vanterler da C., Zuo, Jiabin, O'Regan, Donal
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 22.09.2022
Taylor & Francis Ltd
Subjects
existence and nonexistence of weak solutions
fibering maps
Fractional p-Laplacian
Manifolds
Nehari manifold
Operators (mathematics)
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ISSN0003-6811
1563-504X
DOI10.1080/00036811.2021.1880569

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Summary:In this paper, we discuss the existence and non-existence of weak solutions to the non-linear problem with a fractional p-Laplacian introduced by the ψ-Hilfer fractional operator, by combining the technique of Nehari manifolds and fibering maps. Also, we obtain some results on the ψ-Hilfer fractional operator and the Nehari manifold via the Euler functional.
Bibliography:ObjectType-Article-1
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content type line 14
ISSN:0003-6811
1563-504X
DOI:10.1080/00036811.2021.1880569