Two solutions for fractional p-Laplacian inclusions under nonresonance

Two solutions for fractional p-Laplacian inclusions under nonresonance

We study a pseudo-differential inclusion driven by the fractional p-Laplacian operator and involving a nonsmooth potential, which satisfies nonresonance conditions both at the origin and at infinity. Using variational methods based on nonsmooth critical point theory (Clarke's subdifferentia...

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Main Authors: Antonio Iannizzotto, Eugenio M. Rocha, Sandrina Santos
Format: Article
Language:English
Published: Texas State University 2018-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Fractional p-Laplacian
differential inclusion
nonsmooth analysis
critical point theory
Online Access:http://ejde.math.txstate.edu/Volumes/2018/122/abstr.html
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spelling doaj-856d95013f2a43ec9d73bb028ba6751a2020-11-25T00:11:40ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912018-06-012018122,113Two solutions for fractional p-Laplacian inclusions under nonresonanceAntonio Iannizzotto0Eugenio M. Rocha1Sandrina Santos2 Univ. of Cagliari, Italy Univ. of Aveiro, Portugal Univ. of Aveiro, Portugal We study a pseudo-differential inclusion driven by the fractional p-Laplacian operator and involving a nonsmooth potential, which satisfies nonresonance conditions both at the origin and at infinity. Using variational methods based on nonsmooth critical point theory (Clarke's subdifferential), we establish existence of at least two constant sign solutions (one positive, the other negative), enjoying Holder regularity.http://ejde.math.txstate.edu/Volumes/2018/122/abstr.htmlFractional p-Laplaciandifferential inclusionnonsmooth analysiscritical point theory
collection DOAJ
language English
format Article
sources DOAJ
author Antonio Iannizzotto
Eugenio M. Rocha
Sandrina Santos
spellingShingle Antonio Iannizzotto
Eugenio M. Rocha
Sandrina Santos
Two solutions for fractional p-Laplacian inclusions under nonresonance
Electronic Journal of Differential Equations
Fractional p-Laplacian
differential inclusion
nonsmooth analysis
critical point theory
author_facet Antonio Iannizzotto
Eugenio M. Rocha
Sandrina Santos
author_sort Antonio Iannizzotto
title Two solutions for fractional p-Laplacian inclusions under nonresonance
title_short Two solutions for fractional p-Laplacian inclusions under nonresonance
title_full Two solutions for fractional p-Laplacian inclusions under nonresonance
title_fullStr Two solutions for fractional p-Laplacian inclusions under nonresonance
title_full_unstemmed Two solutions for fractional p-Laplacian inclusions under nonresonance
title_sort two solutions for fractional p-laplacian inclusions under nonresonance
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2018-06-01
description We study a pseudo-differential inclusion driven by the fractional p-Laplacian operator and involving a nonsmooth potential, which satisfies nonresonance conditions both at the origin and at infinity. Using variational methods based on nonsmooth critical point theory (Clarke's subdifferential), we establish existence of at least two constant sign solutions (one positive, the other negative), enjoying Holder regularity.
topic Fractional p-Laplacian
differential inclusion
nonsmooth analysis
critical point theory
url http://ejde.math.txstate.edu/Volumes/2018/122/abstr.html
work_keys_str_mv AT antonioiannizzotto twosolutionsforfractionalplaplacianinclusionsundernonresonance
AT eugeniomrocha twosolutionsforfractionalplaplacianinclusionsundernonresonance
AT sandrinasantos twosolutionsforfractionalplaplacianinclusionsundernonresonance
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