Uniqueness theorems for stable anisotropic capillary surfaces

Miyuki Koiso; Bennett Palmer

doi:10.1137/060657297

Uniqueness theorems for stable anisotropic capillary surfaces

Miyuki Koiso, Bennett Palmer

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

7 Citations (Scopus)

Abstract

We consider capillary surfaces for certain rotationally invariant elliptic parametric functionals supported on two hydrophobically wetted horizontal plates separated by a fixed distance. It is shown that each such stable capillary surface is uniquely determined by the volume interior to the surface.

Original language	English
Pages (from-to)	721-741
Number of pages	21
Journal	SIAM Journal on Mathematical Analysis
Volume	39
Issue number	3
DOIs	https://doi.org/10.1137/060657297
Publication status	Published - 2007
Externally published	Yes

All Science Journal Classification (ASJC) codes

Analysis
Computational Mathematics
Applied Mathematics

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10.1137/060657297

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abstract = "We consider capillary surfaces for certain rotationally invariant elliptic parametric functionals supported on two hydrophobically wetted horizontal plates separated by a fixed distance. It is shown that each such stable capillary surface is uniquely determined by the volume interior to the surface.",

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Uniqueness theorems for stable anisotropic capillary surfaces

Abstract

All Science Journal Classification (ASJC) codes

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