This paper proves a new sharp Adams-Trudinger-Moser inequality of Adimurthi-Druet type on R^n and establishes attainability and non-attainability of extremals, including the critical biharmonic case in R^4.
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Adams-Trudinger-Moser inequalities of Adimurthi-Druet type regulated by the vanishing phenomenon and its extremals
This paper proves a new sharp Adams-Trudinger-Moser inequality of Adimurthi-Druet type on R^n and establishes attainability and non-attainability of extremals, including the critical biharmonic case in R^4.