Fully nonlinear elliptic PDEs in thin domains with oblique boundary condition

In this preprint we consider fully nonlinear equations in thin domains with oblique boundary condition, finding some new phenomena, in particular the limit equation contains "new terms" of the second, first and zeroth order which don't have an equivalent in the Neumann case treated in...

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Bibliographic Details
Published in:arXiv.org 2024-10
Main Authors: Birindelli, Isabeau, Briani, Ariela, Ishii, Hitoshi
Format: Article
Language:English
Subjects:
Boundary conditions
Elliptic differential equations
Elliptic functions
Nonlinear equations
Parabolic differential equations
Partial differential equations
Online Access:Get full text
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Summary:In this preprint we consider fully nonlinear equations in thin domains with oblique boundary condition, finding some new phenomena, in particular the limit equation contains "new terms" of the second, first and zeroth order which don't have an equivalent in the Neumann case treated in our previous work arXiv:2404.19577. The classical laplacian problem with Neumann boundary condition, goes back to the well known result of Hale and Raugel (1992).
ISSN:2331-8422