Sesión Ecuaciones Diferenciales y Probabilidad

Diciembre 14, 16:10 ~ 16:30

Hölder regularity for asymptotically elliptic nonlinear equations

Pimentel, Edgard

In this note we study fully nonlinear equations driven by asymptotically elliptic operators. We prove local estimates in Hölder spaces for the solutions. Our arguments rely on a geometric double blow-up argument. First, we approximate the original problem by a uniformly elliptic one. Then, we displace our assumptions to the recession profile of the latter. We discuss con- sequences of our main result to the regularity theory of important examples. Namely, the Monge-Ampére equation and the truncated Laplacian operators.

Autores: Pimentel, Edgard.