On integral currents with constant mean curvature
Frank Duzaar, Martin Fuch (1991)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “On a functional depending on curvature and edges”
On integral currents with constant mean curvature
Mean curvature of a measure and related variational problems
Guy Bouchitté, Giuseppe Buttazzo, Ilaria Fragalà (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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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 is proven, whose curvature can be extended to an 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.
Comparison between the generalized mean curvature according to Allard and Federer's mean curvature measure
E. Ossanna (1992)
Rendiconti del Seminario Matematico della Università di Padova
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The mean curvature of a Lipschitz continuous manifold
Elisabetta Barozzi, Eduardo Gonzalez, Umberto Massari (2003)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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The paper is devoted to the description of some connections between the mean curvature in a distributional sense and the mean curvature in a variational sense for several classes of non-smooth sets. We prove the existence of the mean curvature measure of by using a technique introduced in [4] and based on the concept of variational mean curvature. More precisely we prove that, under suitable assumptions, the mean curvature measure of is the weak limit (in the sense of distributions)...