[Régularité des solutions faibles du problème des surfaces à courbure moyenne anisotropique constante]
Dans cette Note on donne une définition des solutions faibles du problème des surfaces à courbure moyenne anisotropique constante ; dans on donne une représentation en coodonnées conformes des solutions. De plus, dans la cas de , nous démontrons la continuité de toutes les solutions.
In this Note a definition of weak constant anisotropic mean curvature surfaces and the expression in conformal coordinates of the anisotropic mean curvature of surfaces in are obtained. Moreover, we prove that all weak constant anisotropic mean curvature surfaces in are continuous.
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@article{CRMATH_2007__344_9_603_0,
author = {Zhai, Jian},
title = {Regularity of weak constant anisotropic mean curvature surfaces},
journal = {Comptes Rendus. Math\'ematique},
pages = {603--606},
publisher = {Elsevier},
volume = {344},
number = {9},
year = {2007},
doi = {10.1016/j.crma.2007.03.004},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2007.03.004/}
}
TY - JOUR AU - Zhai, Jian TI - Regularity of weak constant anisotropic mean curvature surfaces JO - Comptes Rendus. Mathématique PY - 2007 SP - 603 EP - 606 VL - 344 IS - 9 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2007.03.004/ DO - 10.1016/j.crma.2007.03.004 LA - en ID - CRMATH_2007__344_9_603_0 ER -
%0 Journal Article %A Zhai, Jian %T Regularity of weak constant anisotropic mean curvature surfaces %J Comptes Rendus. Mathématique %D 2007 %P 603-606 %V 344 %N 9 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2007.03.004/ %R 10.1016/j.crma.2007.03.004 %G en %F CRMATH_2007__344_9_603_0
Zhai, Jian. Regularity of weak constant anisotropic mean curvature surfaces. Comptes Rendus. Mathématique, Tome 344 (2007) no. 9, pp. 603-606. doi : 10.1016/j.crma.2007.03.004. http://www.numdam.org/articles/10.1016/j.crma.2007.03.004/
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