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• W3104816633 abstract "In this paper we prove the existence of extremal functions for the Adams-Moser-Trudinger inequality on the Sobolev space $H^{m}(Omega)$, where $Omega$ is any bounded, smooth, open subset of $mathbb{R}^{2m}$, $mge 1$. Moreover, we extend this result to improved versions of Adams' inequality of Adimurthi-Druet type. Our strategy is based on blow-up analysis for sequences of subcritical extremals and introduces several new techniques and constructions. The most important one is a new procedure for obtaining capacity-type estimates on annular regions." @default.
• W3104816633 created "2020-11-23" @default.
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• W3104816633 date "2020-08-12" @default.
• W3104816633 modified "2023-10-05" @default.
• W3104816633 title "Improved Adams-type inequalities and their extremals in dimension 2m" @default.
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• W3104816633 doi "https://doi.org/10.1142/s0219199720500431" @default.
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