The Obstacle Problem at Zero for the Fractional p-Laplacian

被引：0
|
作者：
Silvia Frassu
Eugénio M. Rocha
Vasile Staicu
机构：
[1] University of Cagliari,Department of Mathematics and Computer Science
[2] University of Aveiro,CIDMA
来源：
Set-Valued and Variational Analysis | 2022年 / 30卷
关键词：
Obstacle problem; Fractional ; -Laplacian; Operator of monotone type; Degree theory; Nonsmooth analysis; 47G20; 47H05; 47H11; 49J40; 49J52;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：207 / 231
页数：24
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