Differentiability of solutions for a degenerate fully nonlinear free transmission problem
Analysis of PDEs
2025-07-14 v2
Abstract
We study a fully nonlinear free transmission problem in the presence of general degeneracy laws. Under minimal conditions on the degeneracy of the model, we establish the differentiability of viscosity solutions.
Keywords
Cite
@article{arxiv.2405.05406,
title = {Differentiability of solutions for a degenerate fully nonlinear free transmission problem},
author = {Edgard A. Pimentel and David Stolnicki},
journal= {arXiv preprint arXiv:2405.05406},
year = {2025}
}
Comments
We shortened the previous version, added a reference and removed the proof of the existence of solutions