Seminário do Grupo de Análise

Title: Adimurthi-Druet Inequality for Radial Operator

Speaker: JOÃO MARCOS BEZERRA DO Ó - UFPB

Ab: We establish a sharp Trudinger-Moser inequality of Adimurthi-Druet type for a class of quasilinear elliptic operators, when considered acting in radial symmetric functions defined on the entire space R^n. Moreover, we obtain the existence of maximizers for this sharp geometric inequality. This class of operators includes in particular the radial form of p-Laplacian and k-Hessian. Trudinger-Moser inequalities yield exponential-type embedding of Sobolev functions in a critical dimension and play an essential role in studying partial differential equations and geometric problems in the limiting case.