Convegno
“NONLINEAR MEETING IN BOLOGNA 2022 (FIRST DAY)”

The event is organized in continuity with the past editions of Turin, Milan, and Udine. This edition will focus on the fields of Nonlinear PDEs and Calculus of Variations. The aim of the event is to gather young and expert researchers in these fields, to offer a chance of presenting some recent results and exploring future perspectives, and to stimulate new fruitful collaborations through a workshop in presence. The workshop is addressed to people interested in Nonlinear PDEs and Calculus of Variations. Participation of Master and PhD students and researchers is particularly welcome.
organizzato da: Eleonora Cinti, Francesca Colasuonno, Berardo Ruffini

Elenco seminari

Giugno
del 06/06/2022
Nicolò Forcillo
Lipschitz regularity of almost minimizers for the p-Laplacian
Seminario di analisi matematica
See pdf attached
Giugno
del 06/06/2022
Paolo Baroni
New results for non-autonomous functionals with mild phase transition
Seminario di analisi matematica
We describe how different regularity assumptions on the x-dependence of the energy impact the regularity of minimizers of some non-autonomous functionals having nonuniform ellipticity of moderate size. We put particular emphasis on double phase functionals with logarithmic phase transition, including some new results.
Giugno
del 06/06/2022
Roberto Ognibene
A two-phase obstacle problem for the fractional Laplacian
Seminario di analisi matematica
In this talk, I will consider a two-phase obstacle type problem driven by the fractional Laplacian and I will present some results concerning the local behavior of solutions and the regularity of their nodal set. Some time will be devoted to the description of the main tools, namely Almgren and Monneau type monotonicity formulas. This is a joint work with D. Danielli.
Giugno
del 06/06/2022
Maria Medina
From sign-changing solutions of the Yamabe equation to critical competitive systems
Seminario di analisi matematica
In this talk we will analyze the existence and the structure of different sign-changing solutions to the Yamabe equation in the whole space and we will use them to find positive solutions to critical competitive systems in dimension 4.
Giugno
del 06/06/2022
Aldo Pratelli
On a weighted Cheeger problem
Seminario di analisi matematica
In this talk we will discuss the Cheeger problem in a weighted domain. In particular, we are interested in the distribution of mass which maximizes the Cheeger constant in a ball (the minimization is always trivial). We will give some results, and notice how they depend on the bounds that we impose on the distribution. Joint work with Leonardi and Saracco.