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Fully nonlinear elliptic PDEs in thin domains with oblique boundary condition

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arxiv 2410.23925 v1 pith:FAGJDSOX submitted 2024-10-31 math.AP

Isabeau Birindelli , Ariela Briani , Hitoshi Ishii This is my paper
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keywords boundaryconditiondomainsfullyneumannnonlinearobliquethin
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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).

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