Regularity results for p-Laplacians in pre-fractal domains

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.

Keywords

• degenerate elliptic equations
• smoothness and regularity of solutions
• fem
• fractals
• 35j70
• 35b65
• 65n30
• 28a80