Regularity results for p-Laplacians in pre-fractal domains

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.

Bibliographic Details
Main Authors: Capitanelli Raffaela, Fragapane Salvatore, Vivaldi Maria Agostina
Format: Article
Language:English
Published: De Gruyter 2018-06-01
Series:Advances in Nonlinear Analysis
Subjects:
Online Access:https://doi.org/10.1515/anona-2017-0248