A maximum principle for mean-curvature type elliptic inequalities
James Serrin (2006)
Journal of the European Mathematical Society
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James Serrin (2006)
Journal of the European Mathematical Society
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Gerhard Huisken (1987)
Journal für die reine und angewandte Mathematik
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Viktor Schroeder (1988)
Journal für die reine und angewandte Mathematik
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Norbert Jakobowsky (1994)
Journal für die reine und angewandte Mathematik
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Lohkamp, Joachim (1998)
Documenta Mathematica
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S.B. Angenent, J.J. Velázquenz (1997)
Journal für die reine und angewandte Mathematik
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Brent Collins (2001)
Visual Mathematics
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Haesen, Stefan, Verpoort, Steven (2010)
Beiträge zur Algebra und Geometrie
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Iyigün, Esen (2002)
APPS. Applied Sciences
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Christos Baikoussis, Themis Koufogiorgos (1988)
Colloquium Mathematicae
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Xu-Jia Wang (2014)
Journal of the European Mathematical Society
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The convexity of level sets of solutions to the mean curvature equation is a long standing open problem. In this paper we give a counterexample to it.
Y.L. Xin, Rugang Ye (1997)
Journal für die reine und angewandte Mathematik
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Doličanin, Ćemal, Antonova, Larisa (1990)
Publications de l'Institut Mathématique. Nouvelle Série
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Ronaldo García, Jorge Sotomayor (2001)
Publicacions Matemàtiques
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In this paper we study the pairs of orthogonal foliations on oriented surfaces immersed in R whose singularities and leaves are, respectively, the umbilic points and the lines of normal mean curvature of the immersion. Along these lines the immersions bend in R according to their normal mean curvature. By analogy with the closely related Principal Curvature Configurations studied in [S-G], [GS2], whose lines produce the extremal for the immersion, the pair of foliations by lines of...
H.B., Jr Lawson, M.-L. Michelsohn (1984)
Inventiones mathematicae
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Wolfgang Kühnel (1979)
Colloquium Mathematicae
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