On integral currents with constant mean curvature

Frank Duzaar; Martin Fuch

Displaying similar documents to “On integral currents with constant mean curvature”

On the existence of surfaces with prescribed mean curvature and boundary in higher dimensions

Frank Duzaar (1993)

Annales de l'I.H.P. Analyse non linéaire

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Boundaries of prescribed mean curvature

Eduardo H. A. Gonzales, Umberto Massari, Italo Tamanini (1993)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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The existence of a singular curve in $R^{2}$ is proven, whose curvature can be extended to an $L^{2}$ function. The curve is the boundary of a two dimensional set, minimizing the length plus the integral over the set of the extension of the curvature. The existence of such a curve was conjectured by E. De Giorgi, during a conference held in Trento in July 1992.

On a functional depending on curvature and edges

Carlo-Romano Grisanti (2001)

Rendiconti del Seminario Matematico della Università di Padova

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Structurally stable configurations of lines of mean curvature and umbilic points on surfaces immersed in R.

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...