Mixed boundary value problems for fully nonlinear degenerate or singular equations
Analysis of PDEs
2021-04-07 v1
Abstract
We prove existence, uniqueness and regularity results for mixed boundary value problems associated with fully nonlinear, possibly singular or degenerate elliptic equations. Our main result is a global H\"older estimate for solutions, obtained by means of the comparison principle and the construction of ad hoc barriers. The global H\"older estimate immediately yields a compactness result in the space of solutions, which could be applied in the study of principal eigenvalues and principal eigenfunctions of mixed boundary value problems.
Keywords
Cite
@article{arxiv.2104.02407,
title = {Mixed boundary value problems for fully nonlinear degenerate or singular equations},
author = {Isabeau Birindelli and Francoise Demengel and Fabiana Leoni},
journal= {arXiv preprint arXiv:2104.02407},
year = {2021}
}
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31 pages