Hiroshima Mathematical Journal

A fixed contact angle condition for varifolds

Takashi Kagaya and Yoshihiro Tonegawa

Full-text: Open access

Abstract

We define a generalized fixed contact angle condition for $n$-varifold and establish a boundary monotonicity formula. The results are natural generalizations of those for the Neumann boundary condition considered by Grüter-Jost [7].

Article information

Source
Hiroshima Math. J., Volume 47, Number 2 (2017), 139-153.

Dates
Received: 1 June 2016
Revised: 15 November 2016
First available in Project Euclid: 7 July 2017

Permanent link to this document
https://projecteuclid.org/euclid.hmj/1499392823

Digital Object Identifier
doi:10.32917/hmj/1499392823

Mathematical Reviews number (MathSciNet)
MR3679887

Zentralblatt MATH identifier
06775345

Subjects
Primary: 28A75: Length, area, volume, other geometric measure theory [See also 26B15, 49Q15] 49Q15: Geometric measure and integration theory, integral and normal currents [See also 28A75, 32C30, 58A25, 58C35]

Keywords
boundary monotonicity formula contact angle varifold

Citation

Kagaya, Takashi; Tonegawa, Yoshihiro. A fixed contact angle condition for varifolds. Hiroshima Math. J. 47 (2017), no. 2, 139--153. doi:10.32917/hmj/1499392823. https://projecteuclid.org/euclid.hmj/1499392823


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