Moser Trudinger type inequalities for the Hessian equation
The k Hessian equation for k 2 is a class of fully nonlinear partial differential equation of divergence form. A Sobolev type inequality for the k Hessian equation was proved by the second author in 1994. In this paper, we prove the Moser Trudinger type inequality for the k Hessian equation. (C) 2010 Elsevier Inc. All rights reserved.