Trudinger-Moser type inequalities for weighted Sobolev spaces involving fractional dimensions-Reference-Cited by-同舟云学术

Trudinger-Moser type inequalities for weighted Sobolev spaces involving fractional dimensions

Published:2014-05-08 Issue:8 Volume:142 Page:2813-2828
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

de Oliveira José,do Ó João

Abstract

We derive sharp Trudinger-Moser inequalities for weighted Sobolev spaces and prove the existence of extremal functions. The inequalities we obtain here extend for fractional dimensions the classical results in the radial case. The main ingredient used in our arguments reveals a new proof of a result due to J. Moser for which we give an improved version.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2014-142-08/S0002-9939-2014-12019-3/S0002-9939-2014-12019-3.pdf

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