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.
Capitanelli, R., Fragapane, S., Vivaldi, M. A., Regularity results for p-Laplacians in pre-fractal domains, <<ADVANCES IN NONLINEAR ANALYSIS>>, 2019; 8 (1): 1043-1056. [doi:10.1515/anona-2017-0248] [http://hdl.handle.net/10807/179353]
Regularity results for p-Laplacians in pre-fractal domains
Fragapane, Salvatore;
2019
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.
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