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math.AP2023
Sharp higher order Admas' inequality with exact growth condition on weighted Sobolev spaces
João Marcos do Ó, Guozhen Lu, Raoní Ponciano
This paper introduces a novel higher order Adams inequality that incorporates an exact growth condition for a class of weighted Sobolev spaces. Our rigorous proof confirms the vali…
math.AP2023
On a supercritical k-Hessian inequality of Trudinger-Moser type and extremal functions
José Francisco de Oliveira, João Marcos do Ó, Pedro Ubilla
We establish a supercritical Trudinger-Moser type inequality for the -Hessian operator on the space of the -admissible radially symmetric functions $Φ^{k}_{0,\mathrm{rad}}(B)…