The obstacle problem at zero for the fractional \(p\)-Laplacian
type: Item
instance of: scholarly article
title: The obstacle problem at zero for the fractional \(p\)-Laplacian
author: Silvia Frassu
author: E. M. Rocha
author: Vasile Staicu
published in: Set-Valued and Variational Analysis
publication date: 2022-03-15T00:00:00Z
review text: In this paper the authors study an obstacle problem driven by the fractional \(p\)-Laplacian operator in a bounded domain of the Euclidean space. In the main results of the paper the authors prove the existence of at least two nontrivial solutions, using classical degree theory and variational methods.
reviewed by: Raffaella Servadei
Mathematics Subject Classification ID: 47G20
Mathematics Subject Classification ID: 47H05
Mathematics Subject Classification ID: 47H11
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 49J52
zbMATH DE Number: 7490854
zbMATH Keywords: obstacle problem
zbMATH Keywords: fractional \(p\)-Laplacian
zbMATH Keywords: degree theory
zbMATH Keywords: variational methods
MaRDI profile type: Publication
full work available at URL: s11228-020-00562-0
OpenAlex ID: W3094310958
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DOI: 10.1007/S11228-020-00562-0
description: scientific article; zbMATH DE number 7490854