A degenerate fully nonlinear free transmission problem with variable exponents
Analysis of PDEs
2021-11-04 v1
Abstract
We study degenerate fully nonlinear free transmission problems, where the degeneracy rate varies in the domain. We prove optimal pointwise regularity depending on the degeneracy rate. Our arguments consist of perturbation methods, relating our problem to a homogeneous, fully nonlinear, uniformly elliptic equation.
Keywords
Cite
@article{arxiv.2111.02225,
title = {A degenerate fully nonlinear free transmission problem with variable exponents},
author = {David Jesus},
journal= {arXiv preprint arXiv:2111.02225},
year = {2021}
}
Comments
31 pages, 0 figures. To be published in Calc. Var. Partial Differential Equations