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math.AP2024
Fully nonlinear elliptic PDEs in thin domains with oblique boundary condition
Isabeau Birindelli, Ariela Briani, Hitoshi Ishii
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 t…
math.AP2024
Test function approach to fully nonlinear equations in thin domains
Isabeau Birindelli, Ariela Briani, Hitoshi Ishii
In this note we extend to fully nonlinear operators the well known result on thin domains of Hale and Raugel. The result is more general even in the case of the Laplacian.