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Seminari di Analisi Matematica dell'Università e del Politecnico di Torino
Optimal estimates for Neumann eigenvalues
14:30
Antoine Henrot - Aula Magna (Dipartimento di Matematica, Università di Torino)
The aim of this talk is to give estimates, if possible optimal, of the Neumann eigenvalues of the
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Seminari di Analisi Matematica dell'Università e del Politecnico di Torino
Strichartz estimates for the Dirac equation on compact manifolds without boundary
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Elena Danesi - Aula Buzano (DISMA Politecnico di Torino)
The Dirac equation on Rn can be listed within the class of dispersive equations, together with, e.g., the wave and Klein-Gordon equations. In the years a lot of tools have been
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Carlo Mariconda - Aula 2 (Dipartimento di Matematica, Università di Torino)
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Date : Thursday, 09 May 2024
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Seminari di Analisi Matematica dell'Università e del Politecnico di Torino
Dynamics of the KPP equation with nonlocal diffusion and free boundaries
14:30
Yihong Du - Aula 2 (Dipartimento di Matematica, Università di Torino)
A new phenomenon in nonlocal diffusion models is that the solution may exhibit accelerated propagation, that
Date : Thursday, 16 May 2024
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Seminari di Analisi Matematica dell'Università e del Politecnico di Torino
On the notion of dynamical (in)stability for minimal surfaces
14:30
Salvatore Stuvard - Aula Buzano (DISMA Politecnico di Torino)
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Date : Tuesday, 21 May 2024
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Seminari di Analisi Matematica dell'Università e del Politecnico di Torino
On Cheeger's constants
11:30
Lorenzo Brasco - Aula 1 (Dipartimento di Matematica, Università di Torino)
We discuss the Cheeger constant and some of its variants, especially in connection with Spectral Geometry
Date : Friday, 24 May 2024
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Existence and asymptotics of solutions to a p-Laplacian Neumann problem through a Nehari-type set in an invariant cone

Seminari di Analisi Matematica dell'Università e del Politecnico di Torino
Date: Monday, 08 May 2023 14:30 - 15:30

Venue: Benedetta Noris - Luogo: Aula Lagrange (Dipartimento di Matematica, Università di Torino)

I shall present some recent results in collaboration with F. Colasuonno and G. Verzini.

We consider a p-Laplacian equation for 1<p<2, with nonlinearity of pure power type with exponent q. We search for nonconstant, radial and radially nondeacreasing solutions in a ball, with Neumann boundary conditions. For large values of q, we prove the existence of two distinct solutions of this type, by making use of a variational approach in an invariant cone. We distinguish the two solutions upon their energy: one is a ground state inside a Nehari-type subset of the cone, the other is obtained via a mountain pass argument inside the Nehari set. As a byproduct of our proof, we show that the constant solution 1 is a local minimum on the Nehari set. In addition, we detect the limit profiles of the two nonconstant solutions as q tends to infinity.

 

Speaker
Benedetta Noris
Affiliation
Politecnico di Milano
Room
Aula Lagrange
Proposed by
Alberto Boscaggin

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