Differentiability of solutions for a degenerate fully nonlinear free transmission problem

Autor:	Pimentel, Edgard A., Stolnicki, David
Rok vydání:	2024
Předmět:	Mathematics - Analysis of PDEs 35B65 35D40 35A01
Druh dokumentu:	Working Paper
Popis:	We study a fully nonlinear free transmission problem in the presence of general degeneracy terms. Under minimal conditions on the degeneracy of the model, we establish the existence of viscosity solutions for the associated Dirichlet problem. Once the existence of solutions has been established, we focus on their regularity estimates. By imposing a Dini-continuity condition on the degeneracy laws involved in the model, we prove that viscosity solutions are locally differentiable.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2405.05406 Zobrazit plný text záznamu View this record from Arxiv