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Usted está aquí: Inicio / Actividades / Seminarios / Seminario de Ecuaciones Diferenciales No Lineales (SEDNOL) / Actividades del Seminario de Ecuaciones Diferenciales No Lineales / A new class of integral inequalities involving Coulomb-type energies of radial functions

A new class of integral inequalities involving Coulomb-type energies of radial functions

Ponente: Carlo Mercuri
Institución: Swansea University
Tipo de Evento: Investigación
Cuándo 11/09/2018
de 11:00 a 12:00
Dónde Salón de seminarios "Graciela Salicrup"
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Abstract.

I will discuss a class of Gagliardo-Nirenberg type inequalities involving Coulomb-type energies and highlight the role of various critical exponents arising when restricting on radial functions, to prove new embedding theorems into Lebesgue spaces. These inequalities allow to set up a variational framework to find solutions to a class of nonlinear and nonlocal Schrödinger equations. 

The results I will deal with are contained in joint works with Jacopo Bellazzini, Marco Ghimenti, Vitaly Moroz and Jean Van Schaftingen.