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arXiv · 2306.05549

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

José Francisco de Oliveira·João Marcos do Ó·Pedro Ubilla
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Abstract

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

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José Francisco de Oliveira, João Marcos do Ó, Pedro Ubilla. 2023-06-08. On a supercritical k-Hessian inequality of Trudinger-Moser type and extremal functions. https://doi.org/10.1007/s10231-024-01455-x

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