Título:Do positive solutions of elliptic PDEs in convex domains have convex level sets?
Conferenciante: François Hamel (Institut de Mathématiques de Marseille)
Resumen: In this talk, I will discuss some geometrical properties of positive solutions of semilinear elliptic partial differential equations in bounded convex domains or convex rings, with Dirichlet-type boundary conditions. A solution is called quasiconcave if its superlevel sets are convex. I will review some classical properties and positive results and I will present the main elementary steps of a counterexample, that is a case of semilinear elliptic equations for which the solutions are not quasiconcave. This talk is based on a joint work with N. Nadirashvili and Y. Sire.
15 de marzo de 2016, 12:45, Seminario 1ª planta IEMath-GR
Más información sobre el seminario de ecuaciones diferenciales aquí.