Calculus of Variations and Geometric Measure Theory

Existence and nonexistence of positive solutions for some elliptic equation involving the Pucci operators

Norihisa Ikoma

created by malchiodi on 14 Sep 2015

17 sep 2015 -- 16:00   [open in google calendar]

Scuola Normale Superiore, Aula Bianchi Scienze

Abstract.

This talk is based on joint work with Patricio Felmer (Universidad de Chile) and we study the elliptic equation on the one-dimensional whole space, which has the Pucci operators, the power-type nonlinearity and potential function. This equation is a generalized version of the well-known semilinear elliptic problem and we show the existence (or nonexistence) of positive solutions under some conditions on the potential function.