On using curvature to demonstrate stability.

McCluskey, C.Connell

Displaying similar documents to “On using curvature to demonstrate stability.”

A volume comparison estimate with radially symmetric Ricci curvature lower bound and its applications.

Hu, Zisheng, Jin, Yadong, Xu, Senlin (2010)

International Journal of Mathematics and Mathematical Sciences

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$(n - 1)$ -dimensional generalized null scrolls in $R_{1}^{n}$ .

Balgetir, Handan, Ergüt, Mahmut (2003)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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Geometric structure of tubes and bands of zero mean curvature.

Klyachin, V.A., Miklyukov, V.M. (2003)

Annales Academiae Scientiarum Fennicae. Mathematica

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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.

Eigenvalue approximations for linear periodic differential equations with a singularity.

Harris, B.J., Marzano, F. (1999)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Determination of a surface by its mean curvature

Alois Švec (1978)

Časopis pro pěstování matematiky

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Solutions for a class of integro-differential equations with time periodic coefficients.

Machado, José Márcio, Tsuchida, Masayoshi (2002)

Applied Mathematics E-Notes [electronic only]

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Properties of Conflict Sets in the Plane

Dirk Siersma (1999)

Banach Center Publications

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This paper studies the smoothness and the curvature of conflict sets of the distance function in the plane. Conflict sets are also well known as 'bisectors'. We prove smoothness in the case of two convex sets and give a formula for the curvature. We generalize moreover to weighted distance functions, the so-called Johnson-Mehl model.