A note on the contact angle boundary condition for monge-ampère equations

John Urbas

doi:10.1090/s0002-9939-99-05222-3

A note on the contact angle boundary condition for monge-ampère equations

John Urbas^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We give a simple proof of a result of Xinan Ma concerning a necessary condition for the solvability of the two-dimensional Monge-Ampère equation subject to the contact angle or capillarity boundary condition. Our technique works for more general Monge-Ampère equations in any dimension, and also extends to some other boundary conditions.

Original language	English
Pages (from-to)	853-855
Number of pages	3
Journal	Proceedings of the American Mathematical Society
Volume	128
Issue number	3
DOIs	https://doi.org/10.1090/s0002-9939-99-05222-3
Publication status	Published - 2000

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title = "A note on the contact angle boundary condition for monge-amp{\`e}re equations",

abstract = "We give a simple proof of a result of Xinan Ma concerning a necessary condition for the solvability of the two-dimensional Monge-Amp{\`e}re equation subject to the contact angle or capillarity boundary condition. Our technique works for more general Monge-Amp{\`e}re equations in any dimension, and also extends to some other boundary conditions.",

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PY - 2000

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AB - We give a simple proof of a result of Xinan Ma concerning a necessary condition for the solvability of the two-dimensional Monge-Ampère equation subject to the contact angle or capillarity boundary condition. Our technique works for more general Monge-Ampère equations in any dimension, and also extends to some other boundary conditions.

KW - Contact angle boundary condition

KW - Monge-ampère equations

UR - https://www.scopus.com/pages/publications/33646835445

U2 - 10.1090/s0002-9939-99-05222-3

DO - 10.1090/s0002-9939-99-05222-3

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SP - 853

EP - 855

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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ER -

A note on the contact angle boundary condition for monge-ampère equations

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