Sobolev versus Hölder minimizers for the degenerate fractional p-Laplacian
Iannizzotto A.;MOSCONI, SUNRA JOHANNES NIKOLAJ;SQUASSINA, MARCO
2020-01-01
Abstract
We consider a nonlinear pseudo-di erential equation driven by the fractional p-Laplacian (−∆)sp with s ∈ (0,1) and p ⩾ 2 (degenerate case), under Dirichlet type conditions in a smooth domain Ω. We prove that local minimizers of the associated energy functional in the fractional Sobolev space Ws,p(Ω) and in the weighted Hölder space Cs0(Ω), respectively, coincide.File | Size | Format | |
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