A reciprocity principle for constrained isoperimetric problems and existence of isoperimetric subregions in convex sets

Author:

Bildhauer Michael,Fuchs Martin,Müller Jan

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference21 articles.

1. Ambrosio, L., Fusco, N., Pallara, D.: Functions of Bounded Variation and Free Discontinuity Problems. Clarendon Press, Oxford (2000)

2. Besicovitch, A.: A variant of a classical isoperimetric problem. Q. J. Math. 20(1), 84–94 (1949)

3. Besicovitch, A.: Variants of a classical isoperimetric problem. Q. J. Math. 3(1), 42–49 (1952)

4. Bucur, D., Buttazzo, G.: Variational Methods in Shape Optimization Problems. Progress in Nonlinear Differential Equations and Their Applications. Birkhäuser Boston, Boston (2006)

5. Burago, Y.D., Zalgaller, V.A.: Geometric Inequalities. Grundlehren der mathematischen Wissenschaften. Springer, Berlin (2013)

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