A constant rank theorem for level sets of immersed hypersurfaces in \(\mathbb R^{n+1}\) with prescribed mean curvature
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Publication:968597
DOI10.2140/pjm.2010.245.255zbMath1192.53058OpenAlexW2058231792MaRDI QIDQ968597
Xi-Nan Ma, Qianzhong Ou, Changqing Hu
Publication date: 5 May 2010
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: http://pjm.math.berkeley.edu/pjm/2010/245-2/p04.xhtml
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Second-order elliptic equations (35J15) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)
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Gauss curvature estimates for the convex level sets of a minimal surface immersed in \(\mathbb R^{n+1}\) ⋮ Counterexample to the convexity of level sets of solutions to the mean curvature equation
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