Regularity results for p-Laplacians in pre-fractal domains

Salvatore Fragapane, Raffaela Capitanelli, Maria Agostina Vivaldi

Risultato della ricerca: Contributo in rivistaArticolo in rivista

3 Citazioni (Scopus)

Abstract

We study obstacle problems involving p-Laplace-type operators in non-convex polygons. We establish regularity results in terms of weighted Sobolev spaces. As applications, we obtain estimates for the FEM approximation for obstacle problems in pre-fractal Koch Islands.
Lingua originaleEnglish
pagine (da-a)1043-1056
Numero di pagine14
RivistaAdvances in Nonlinear Analysis
Volume8
DOI
Stato di pubblicazionePubblicato - 2019

Keywords

  • Degenerate elliptic equations
  • FEM
  • fractals
  • smoothness and regularity of solutions

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