k-Hessian inequality of Trudinger–Moser type 

Prof. João Marcos Bezerra do Ó

Abstract: We present some recent Trudinger-Moser type inequalities for a class of fully nonlinear partial differential operators of divergence form.Trudinger-Moser inequalities yield exponential-type embeddings of Sobolev functions in a critical dimension and play an essential role in studying partial differential equations and geometric problems.