On the relaxation and the Lavrentieff phenomenon for variational integrals with pointwise measurable gradient constraints

Author:

De Arcangelis Riccardo,Monsurrò Sara,Zappale Elvira

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference21 articles.

1. Bethuel, F., Brezis, H.: Minimisation de $\int |\nabla (u-(x/|x|))|^2$ et divers phénomènes de gap. C. R. Acad. Sci. Paris Sér. I Math. 310, 859-864 (1990)

2. Brezis, H.: Relaxed energies for harmonic maps and liquid crystals. In: International Symposium Renato Caccioppoli, Naples, September 20-22, 1989. Ricerche Mat. 40-Supplemento, 163-173 (1991)

3. Buttazzo, G.: Semicontinuity, relaxation and integral representation in the calculus of variations. Pitman Res. Notes Math. Ser. 207, Longman Scientific & Technical, Harlow 1989

4. Buttazzo, G., Belloni, M.: A survey on old and recent results about the gap phenomenon in the calculus of variations. In: Recent developments in well-posed variational problems. Math. Appl. 331, pp. 1-27. Kluwer Acad. Publ., Dordrecht 1995

5. Buttazzo, G., Dal Maso, G.: Integral representation and relaxation of local functionals. Nonlinear Anal. 9, 515-532 (1985)

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3. On the relaxation of some classes of pointwise gradient constrained energies;Annales de l'Institut Henri Poincaré C, Analyse non linéaire;2007-02

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