On the fractional p-Laplacian equations with weight and general datum

On the fractional p-Laplacian equations with weight and general datum

The aim of this paper is to study the following problem: where Ω is a smooth bounded domain of containing the origin, with , , , and . The main purpose of this work is to prove the existence of a weak solution under some hypotheses on . In particular, we will consider two cases:

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Veröffentlicht in:Advances in nonlinear analysis 2016-12, Vol.8 (1), p.144-174
Hauptverfasser: Abdellaoui, Boumediene, Attar, Ahmed, Bentifour, Rachid
Format: Artikel
Sprache:eng
Schlagworte:
35A15
35S15
49J35
entropy solution
nonlocal problems
Weighted fractional Sobolev spaces
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Beschreibung
Zusammenfassung:The aim of this paper is to study the following problem: where Ω is a smooth bounded domain of containing the origin, with , , , and . The main purpose of this work is to prove the existence of a weak solution under some hypotheses on . In particular, we will consider two cases:
ISSN:2191-9496
2191-950X
DOI:10.1515/anona-2016-0072