Minimum problems on SBV with irregular boundary datum
Celada, Pietro
Rendiconti del Seminario Matematico della Università di Padova, Tome 98 (1997), p. 193-211 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1997-01-01
@article{RSMUP_1997__98__193_0,
     author = {Celada, Pietro},
     title = {Minimum problems on $SBV$ with irregular boundary datum},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {98},
     year = {1997},
     pages = {193-211},
     mrnumber = {1492977},
     zbl = {0903.49001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RSMUP_1997__98__193_0}
}

Celada, Pietro. Minimum problems on $SBV$ with irregular boundary datum. Rendiconti del Seminario Matematico della Università di Padova, Tome 98 (1997) pp. 193-211. http://gdmltest.u-ga.fr/item/RSMUP_1997__98__193_0/

[1] L. Ambrosio, A compactness theorem for a special class of functions of boundede variation, Boll. Un. Mat. Ital., 3 B (1989), pp. 857-881. | MR 1032614 | Zbl 0767.49001

[2] L. Ambrosio - A. Braides, Energies in SBV and variational models in fracture mechanics, Proceedings of the Euro Homogenization Congress, Nice, Gakuto Int. Series-Math. Sci. Appl., 9 (1997), pp. 1-22. | MR 1473974 | Zbl 0904.73045

[3] L. Ambrosio - N. FUSCO - D. PALLARA, Partial regularity of free discontinuity sets, II and III, preprint Università di Pisa (1994).

[4] L. Ambrosio - D. PALLARA, Partial regularity of free discontinuity sets, I, preprint Università di Pisa (1994).

[5] G. Bellettini - A. Coscia - G. Dal Maso, Special functions of bounded deformation, preprint SISSA, Trieste (1955).

[6] G. Bouchitte - A. BRAIDES - G. BUTTAZZO, Relaxation offree discontinuity problems, J. Reine Angew. Math., 458 (1995), pp. 1-18. | MR 1310950 | Zbl 0817.49015

[7] A. Braides - V. DE CICCO, New lower semicontinuity and relaxation results for functionals defined on BV(Ω), Adv. Math. Sci. Appl., 6 (1996), pp. 1-30. | Zbl 0870.49008

[8] M. Carriereo - A. Leaci, Existence theorem for a Direchlet problem with free discontinuity set, Nonlinear Anal., 15 (1990), pp. 661-677. | MR 1073957 | Zbl 0713.49003

[9] E. De Giorgi, Free discontinuity problems in Calculus of Variations, in Analyse mathématique et applications, Gauthier-Villars, Paris (1988).

[10] E. De GIORGI - L. AMBROSIO, Un nuovo tipo di funzionale del calcolo delle variazioni, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur., 82 (1988), pp. 199-210. | MR 1152641 | Zbl 0715.49014

[11] E. De GIORGI - M. CARRIERO - A. LEACI, Existence theorem for a minimum problem with free discontinuity set, Arch. Rational Mech. Anal., 108 (1989), pp. 195-218. | MR 1012174 | Zbl 0682.49002

[12] L.C. Evans - R. Gariepy, Measure Theory and Fine Properties of Functions, CRC Press, Boca Raton (1992). | MR 1158660 | Zbl 0804.28001

[13] H. Federer, Geometric Measure Theory, Springer-Verlag, Berlin (1969). | MR 257325 | Zbl 0874.49001

[14] M. Miranda, Comportamento delle successioni convergenti di frontiere minimali, Rend. Sem. Univ. Padova, 38 (1967), pp. 238-257. | Numdam | MR 222735 | Zbl 0154.37102

[15] D. Mumford - J. SHAH, Boundary detection by minimizing functionals, in Proc. IEEE Conf. on Computer Vision and Pattern Recognition, San Francisco (1985).

[16] L. Simon, Lectures on geometric measure theory, in Proceedings of the Centre of Mathematical Analysis, Canberra (1984). | MR 756417 | Zbl 0546.49019

[17] R. Temam, Mathematical Problems in Plasticity, Gauthier-Villars, Paris (1985).

[18] E.G. Virga, Drops of nematic liquid crystals, Arch. Rational Mech. Anal., 75 (1980), pp. 7-21. | MR 1004716 | Zbl 0688.76074