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arXiv · 2604.05578

Fully nonlinear elliptic PDEs in thin domains with oblique-Dirichlet mixed boundary conditions

Isabeau Birindelli·Ariela Briani·Hitoshi Ishii
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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.

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Isabeau Birindelli, Ariela Briani, Hitoshi Ishii. 2026-04-07. Fully nonlinear elliptic PDEs in thin domains with oblique-Dirichlet mixed boundary conditions. https://arxiv.org/abs/2604.05578

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