Open Access
2002 CONCAVITY, QUASICONCAVITY, AND QUASILINEAR ELLIPTIC EQUATIONS
John McCuan
Taiwanese J. Math. 6(2): 157-174 (2002). DOI: 10.11650/twjm/1500407426

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.

Citation

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John McCuan. "CONCAVITY, QUASICONCAVITY, AND QUASILINEAR ELLIPTIC EQUATIONS." Taiwanese J. Math. 6 (2) 157 - 174, 2002. https://doi.org/10.11650/twjm/1500407426

Information

Published: 2002
First available in Project Euclid: 18 July 2017

zbMATH: 1140.35423
MathSciNet: MR1903133
Digital Object Identifier: 10.11650/twjm/1500407426

Subjects:
Primary: 53A10 , 76B45 , 76D45
Secondary: 49Q05 , 53C42 , 76E10

Keywords: constant mean curvature , quasiconcavity

Rights: Copyright © 2002 The Mathematical Society of the Republic of China

Vol.6 • No. 2 • 2002
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