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

Prelegent(ci)
Marco Gallo
Afiliacja
Catholic University, Brescia
Język referatu
angielski
Termin
7 listopada 2024 12:30
Pokój
p. 5070
Seminarium
Seminarium Zakładu Równań Fizyki Matematycznej

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.