The signed mean curvature measure

Qiuyi Dai; Xu-Jia Wang; Bin Zhou

doi:10.1090/conm/644

The signed mean curvature measure

Qiuyi Dai, Xu-Jia Wang, Bin Zhou

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

In this paper, we study the prescribed mean curvature equation of which the right hand side is a signed measure. We prove the weak continuity of the mean curvature operator and the existence of weak solutions to the Dirichlet problem.

Original language	English
Title of host publication	Analysis, Complex Geometry, and Mathematical Physics: In Honor of Duong H. Phong
Editors	P M N Feehan, J Song, B Weinkove & R A Wentworth
Place of Publication	USA
Publisher	American Mathematical Society
Pages	23-32pp
Edition	Peer Reviewed
ISBN (Print)	9781470414641
DOIs	https://doi.org/10.1090/conm/644
Publication status	Published - 2015
Event	Complex Mathematic: Analysis, Complex Geometry, and Mathematical Physics: In Honor of Duong H. Phong - New York, USA, United States Duration: 1 Jan 2015 → …

Conference

Conference	Complex Mathematic: Analysis, Complex Geometry, and Mathematical Physics: In Honor of Duong H. Phong
Country/Territory	United States
Period	1/01/15 → …
Other	May 7â€“11 2013

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10.1090/conm/644

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title = "The signed mean curvature measure",

abstract = "In this paper, we study the prescribed mean curvature equation of which the right hand side is a signed measure. We prove the weak continuity of the mean curvature operator and the existence of weak solutions to the Dirichlet problem.",

author = "Qiuyi Dai and Xu-Jia Wang and Bin Zhou",

year = "2015",

doi = "10.1090/conm/644",

language = "English",

isbn = "9781470414641",

pages = "23--32pp",

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booktitle = "Analysis, Complex Geometry, and Mathematical Physics: In Honor of Duong H. Phong",

publisher = "American Mathematical Society ",

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note = "Complex Mathematic: Analysis, Complex Geometry, and Mathematical Physics: In Honor of Duong H. Phong ; Conference date: 01-01-2015",

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Dai, Q, Wang, X-J & Zhou, B 2015, The signed mean curvature measure. in PMNFJSBWRAW (ed.), Analysis, Complex Geometry, and Mathematical Physics: In Honor of Duong H. Phong. Peer Reviewed edn, American Mathematical Society , USA, pp. 23-32pp, Complex Mathematic: Analysis, Complex Geometry, and Mathematical Physics: In Honor of Duong H. Phong, United States, 1/01/15. https://doi.org/10.1090/conm/644

The signed mean curvature measure. / Dai, Qiuyi; Wang, Xu-Jia; Zhou, Bin.
Analysis, Complex Geometry, and Mathematical Physics: In Honor of Duong H. Phong. ed. / P M N Feehan, J Song, B Weinkove & R A Wentworth. Peer Reviewed. ed. USA: American Mathematical Society , 2015. p. 23-32pp.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - In this paper, we study the prescribed mean curvature equation of which the right hand side is a signed measure. We prove the weak continuity of the mean curvature operator and the existence of weak solutions to the Dirichlet problem.

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M3 - Conference contribution

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A2 - null, P M N Feehan, J Song, B Weinkove & R A Wentworth

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T2 - Complex Mathematic: Analysis, Complex Geometry, and Mathematical Physics: In Honor of Duong H. Phong

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The signed mean curvature measure

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