Fully nonlinear elliptic PDEs in thin domains with oblique-Dirichlet mixed boundary conditions
Analysis of PDEs
2026-04-08 v1
Abstract
We consider asymptotic behavior of solutions to the oblique-Dirichlet mixed boundary conditions without the strict monotonicity of the equation in the variable corresponding to the unknown function for "thin domains" i.e. when the N+1 dimensional domains collapse to an N dimensional domain. A global ellipticity condition in the limit equation is introduced.
Keywords
Cite
@article{arxiv.2604.05578,
title = {Fully nonlinear elliptic PDEs in thin domains with oblique-Dirichlet mixed boundary conditions},
author = {Isabeau Birindelli and Ariela Briani and Hitoshi Ishii},
journal= {arXiv preprint arXiv:2604.05578},
year = {2026}
}
Comments
20 pages