20 Maggio, 2016 11:00 in punto

Sezione di Analisi

Trudinger-Moser and Adams inequalities with the exact growth condition

Federica Sani, Università degli Studi di Milano

Aula seminari 6° piano

The Trudinger-Moser inequality is a substitute for the well known Sobolev embedding Theorem when the limiting case is considered. Adams' inequality is the complete generalization of the Trudinger-Moser inequality to the case of Sobolev spaces involving higher order derivatives. In this talk, we discuss the optimal growth rate of the exponential-type function in Trudinger-Moser and Adams inequalities when the problem is considered in the whole space R^n.