Calculus of Variations and Geometric Measure Theory
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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.

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