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Title: The obstacle problem at zero for the fractional p-Laplacian
Author: Frassu, Silvia
Rocha, Eugénio M.
Staicu, Vasile
Keywords: Obstacle problem
Fractional p-Laplacian
Operator of monotone type
Degree theory
Nonsmooth analysis
Issue Date: 2022
Publisher: Springer
Abstract: In this paper we establish a multiplicity result for a class of unilateral, nonlinear, nonlocal problems with nonsmooth potential (variational-hemivariational inequalities), using the degree map of multivalued perturbations of fractional nonlinear operators of monotone type, the fact that the degree at a local minimizer of the corresponding Euler functional is equal one, and controlling the degree at small balls and at big balls.
Peer review: yes
DOI: 10.1007/s11228-020-00562-0
ISSN: 0927-6947
Publisher Version:
Appears in Collections:CIDMA - Artigos
FAAG - Artigos

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