2 papers
math.AP2025
Obstacle problems for the fractional -Laplacian on fractal domains: well-posedness and asymptotics
Simone Creo, Salvatore Fragapane
We study obstacle problems for the regional fractional -Laplacian in a domain having as fractal boundary the Koch snowflake. We prove well-posedness resul…
math.AP2023
Convergence results for the solutions of -Laplacian double obstacle problems on irregular domains
Raffaela Capitanelli, Salvatore Fragapane
In this paper we study double obstacle problems involving Laplace type operators. In particular, we analyze the asymptotics of the solutions on fractal and pre-fractal boun…