Ariela Briani, "Fully nonlinear elliptic PDEs in thin domains with oblique boundary condition"

lundi 10 févr. 2025, 10:00 → 11:00 Europe/Paris

A711 (Université Paris-Dauphine)

I will describe the results  contained in two joint works with I. Birindelli and  H. Ishii. In the first one we extend to fully nonlinear operators of the well known result on thin domains of Hale and Raugel. This result is more general even in the case of the Laplacian. In the second one we consider oblique boundary condition, and find some new phenomena, in particular the limit equations contain ”new terms” in the second, first and zeroth order terms which don’t have an equivalent in the Neumann case.