Trudinger–Moser type inequalities for radial Sobolev spaces with logarithmic weights are considered. The precise Trudinger–Moser growths in dependence on the logarithmic terms, and the corresponding sharp Moser type exponents are determined. In a particular case a critical Trudinger–Moser growth of double exponential type is found.
On Trudinger-Moser type inequalities with logarithmic weights / M. Calanchi, B. Ruf. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 1090-2732. - 258:6(2015 Mar 15), pp. 1967-1989.
On Trudinger-Moser type inequalities with logarithmic weights
M. CalanchiPrimo
;B. Ruf
2015
Abstract
Trudinger–Moser type inequalities for radial Sobolev spaces with logarithmic weights are considered. The precise Trudinger–Moser growths in dependence on the logarithmic terms, and the corresponding sharp Moser type exponents are determined. In a particular case a critical Trudinger–Moser growth of double exponential type is found.
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