The Obstacle Problem at Zero for the Fractional p-Laplacian

Frassu S.;Rocha E. M.;Staicu V.

2022-01-01

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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.