Nash inequalities for compact manifolds with boundary

Hironori Kumura

doi:10.2996/kmj/1106168810

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Home > Journals > Kodai Math. J. > Volume 24 > Issue 3 > Article

2001 Nash inequalities for compact manifolds with boundary

Hironori Kumura

Kodai Math. J. 24(3): 352-378 (2001). DOI: 10.2996/kmj/1106168810

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Abstract

In this paper, we shall prove the Nash inequality for a compact manifold with boundary with respect to weighted measure, using covering arguments of Jerison and Oden-Sung-Wang. We shall also state some results which are easily obtained from that inequality.

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Hironori Kumura. "Nash inequalities for compact manifolds with boundary." Kodai Math. J. 24 (3) 352 - 378, 2001. https://doi.org/10.2996/kmj/1106168810