Taiwanese Journal of Mathematics

CONCAVITY, QUASICONCAVITY, AND QUASILINEAR ELLIPTIC EQUATIONS

John McCuan

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Abstract

Quasiconcavity, the condition that the level sets of a positive graph are convex, is known to hold for solutions of certain semilinear equations. We survey some techniques that can be used to show quasiconcavity for solutions of quasilinear elliptic equations with form similar to the equation of constant mean curvature.

Article information

Source
Taiwanese J. Math., Volume 6, Number 2 (2002), 157-174.

Dates
First available in Project Euclid: 18 July 2017

Permanent link to this document
https://projecteuclid.org/euclid.twjm/1500407426

Digital Object Identifier
doi:10.11650/twjm/1500407426

Mathematical Reviews number (MathSciNet)
MR1903133

Zentralblatt MATH identifier
1140.35423

Subjects
Primary: 76B45: Capillarity (surface tension) [See also 76D45] 76D45: Capillarity (surface tension) [See also 76B45] 53A10: Minimal surfaces, surfaces with prescribed mean curvature [See also 49Q05, 49Q10, 53C42]
Secondary: 49Q05: Minimal surfaces [See also 53A10, 58E12] 53C42: Immersions (minimal, prescribed curvature, tight, etc.) [See also 49Q05, 49Q10, 53A10, 57R40, 57R42] 76E10

Keywords
constant mean curvature quasiconcavity

Citation

McCuan, John. CONCAVITY, QUASICONCAVITY, AND QUASILINEAR ELLIPTIC EQUATIONS. Taiwanese J. Math. 6 (2002), no. 2, 157--174. doi:10.11650/twjm/1500407426. https://projecteuclid.org/euclid.twjm/1500407426


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