2000 character limit reached
Regularity of flat free boundaries for a $p(x)$-Laplacian problem with right hand side (2106.00439v1)
Published 1 Jun 2021 in math.AP
Abstract: We consider viscosity solutions to a one-phase free boundary problem for the $p(x)$-Laplacian with non-zero right hand side. We apply the tools developed in \cite{D} to prove that flat free boundaries are $C{1,\alpha}$. Moreover, we obtain some new results for the operator under consideration that are of independent interest.
Sponsor
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.