Negatively curved sets on surfaces of constant mean curvature in \(\mathbb{R}^3\) are large

DOI10.1007/S002050050074zbMath0941.53011OpenAlexW2006880306WikidataQ125849087 ScholiaQ125849087MaRDI QIDQ1386637

Chun-Chi Lin, Wu-Hsiung U. Huang

Publication date: 5 August 1998

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002050050074

zbMATH Keywords

Gaussian curvaturemean curvature equationconvexity of solutions

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Nonlinear elliptic equations (35J60) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (3)

Convexity of the solutions to the constant mean curvature spacelike surface equation in the Lorentz-Minkowski space ⋮ Counterexample to the convexity of level sets of solutions to the mean curvature equation ⋮ Level sets of Gauss curvature in surfaces of constant mean curvature

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