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- W3177332364 abstract "In this paper, we study the existence of extremal functions of the discrete Sobolev inequality and Hardy-Littlewood-Sobolev inequality on lattice graphs. We introduce the discrete Concentration-Compactness principle, and prove the existence of extremal functions for the best constants in the supercritical cases." @default.
- W3177332364 created "2021-07-05" @default.
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- W3177332364 date "2021-06-30" @default.
- W3177332364 modified "2023-09-25" @default.
- W3177332364 title "The existence of extremal functions for discrete Sobolev inequalities on lattice graphs" @default.
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- W3177332364 doi "https://doi.org/10.48550/arxiv.2106.15982" @default.
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