On a supercritical k-Hessian inequality of Trudinger-Moser type and extremal functions

Abstract

We establish a supercritical Trudinger-Moser type inequality for the $k$-Hessian operator on the space of the $k$-admissible radially symmetric functions ${\Phi }_{0,\mathrm{rad}}^k(B)$, where $B$ is the unit ball in ${\mathbb{R}}^N$. We also prove the existence of extremal functions for this new supercritical inequality.

Cited by in corpus (2)

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