One logarithm to separate them all: concavity properties for not-positive nonlinearities

Speaker(s)

Marco Gallo

Affiliation

Catholic University, Brescia

Language of the talk

English

Date

Nov. 7, 2024, 12:30 p.m.

Room

room 5070

Seminar

Seminar of Mathematical Physics Equations Group

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In this talk, we will be interested in some concavity properties of solutions of the equation - \Delta u = f(u). Differently from the standard literature, the fact that f(t) < 0 for t ≈ 0 creates some evident troubles. The journey will be an occasion to talk about concavity properties in general PDEs. This talk is based on a joint work with Sunra Mosconi and Marco Squassina.

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