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- W2749096788 abstract "Adams’ inequality is the complete generalization of the Trudinger–Moser inequality to the case of Sobolev spaces involving higher order derivatives. The failure of the original form of the sharp inequality when the problem is considered on the whole space [Formula: see text] served as a motivation to investigate in the direction of a refined sharp inequality, the so-called Adams’ inequality with the exact growth condition. Due to the difficulties arising in the higher order case from the lack of direct symmetrization techniques, this refined result is known to hold on first- and second-order Sobolev spaces only. We extend the validity of Adams’ inequality with the exact growth to higher order Sobolev spaces." @default.
- W2749096788 created "2017-08-31" @default.
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- W2749096788 date "2018-08-27" @default.
- W2749096788 modified "2023-10-16" @default.
- W2749096788 title "Higher order Adams’ inequality with the exact growth condition" @default.
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- W2749096788 doi "https://doi.org/10.1142/s0219199717500729" @default.
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