Special Session 73: 

A Trudinger-Moser trace inequality on the upper half-space and applications

JOAO MARCOS DO O
UNIVERSIDADE FEDERAL DA PARAIBA
Brazil
Co-Author(s):    Emerson Abreu and Everaldo Medeiros
Abstract:
In this paper, we establish a sharp trace embedding results from a specific Sobolev space, defined on the upper half-space, into the Lebesgue and Orlicz spaces. As an application, we show the existence of solutions for a classes of nonlinear elliptic problems involving nonlinear boundary conditions.