Minimality via Second Variation for a Nonlocal Isoperimetric Problem

Author:

Acerbi E.,Fusco N.,Morini M.

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference49 articles.

1. Adams, R.A., Fournier, J.F.: Sobolev Spaces (second edition) Pure and Applied Mathematics, 140. Amsterdam: Elsevier/Academic Press, 2003

2. Alberti G., Choksi R., Otto F.: Uniform energy distribution for an isoperimetric problem with long-range interactions. J. Amer. Math. Soc. 22, 569–605 (2009)

3. Almgren, F.J. Jr.: Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints. Mem. Amer. Math. Soc. 4, Providence, RI: Amer. Math. Soc., 1976

4. Ambrosio, L., Fusco, N., Pallara, D.: Functions of bounded variation and free discontinuity problems. Oxford Mathematical Monographs. New York: The Clarendon Press, Oxford University Press, 2000

5. Cagnetti F., Mora M.G., Morini M.: A second order minimality condition for the Mumford-Shah functional. Calc. Var. Part. Diff. Eqs. 33, 37–74 (2008)

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