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What is Improved Fractional Trudinger-Moser Inequalities about?
This research article presents improved fractional Trudinger-Moser inequalities on bounded intervals and establishes the existence of extremals for these inequalities. The authors prove that for any bounded interval I, the supremum of a specific integral involving the fractional Laplacian and a function in a Sobolev space is finite under certain conditions. Additionally, the article discusses the methods used to derive these results, including concentration-compactness principles and blow-up analysis.
- Author
- jz9bpzrxfw
- Language
- EN