A Trudinger-Moser inequality with Tintarev constraint is established in fractional dimensions along with existence of extremal functions.
M., Ruf, B.: Extremal for ak-Hessian inequality of Trudinger–Moser type
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A Trudinger-Moser inequality under a refined constraint in fractional dimensions and extremal functions
A Trudinger-Moser inequality with Tintarev constraint is established in fractional dimensions along with existence of extremal functions.