Some Developments on Dirichlet Problems with Discontinuous Coefficients
Boccardo, Lucio
Bollettino dell'Unione Matematica Italiana, Tome 2 (2009), p. 285-297 / Harvested from Biblioteca Digitale Italiana di Matematica

This paper, dedicated to the memory of Guido Stampacchia in the thirtieth anniversary of his death, starts from his lectures on Dirichlet problems of forty years ago. As Sergei Prokofiev named his first symphony the "Classical", since it was written in the style that Joseph Haydn would have used if he had been alive at the time, this paper strongly follows the one by Guido Stampacchia about elliptic equations with discontinuous coefficients ([8]).

Publié le : 2009-02-01
@article{BUMI_2009_9_2_1_285_0,
     author = {Lucio Boccardo},
     title = {Some Developments on Dirichlet Problems with Discontinuous Coefficients},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {2},
     year = {2009},
     pages = {285-297},
     zbl = {1178.35367},
     mrnumber = {2493657},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2009_9_2_1_285_0}
}
Boccardo, Lucio. Some Developments on Dirichlet Problems with Discontinuous Coefficients. Bollettino dell'Unione Matematica Italiana, Tome 2 (2009) pp. 285-297. http://gdmltest.u-ga.fr/item/BUMI_2009_9_2_1_285_0/

[1] Boccardo, L., Indian wells, preprint.

[2] Boccardo, L. - Diaz, J. I. - Giachetti, D. - Murat, F., Existence and regularity of renormalized solutions for some elliptic problems involving derivatives of nonlinear terms, J. Diff. Eq., 106 (1993), 215-237. | MR 1251852 | Zbl 0803.35046

[3] Boccardo, L. - Gallouët, T., Nonlinear elliptic and parabolic equations involving measure data, J. Funct. Anal., 87 (1989), 149-169. | MR 1025884

[4] Boccardo, L. - Gallouët, T., Nonlinear elliptic equations with right hand side measures, Comm. Partial Differential Equations, 17 (1992), 641-655. | MR 1163440 | Zbl 0812.35043

[5] Boccardo, L. - Gallouët, T. - Murat, F., Unicité de la solution pour des equations elliptiques non linéaires, C. R. Acad. Sc. Paris, 315 (1992), 1159-1164. | MR 1194509

[6] Boccardo, L. - Giachetti, D., Existence results via regularity for some nonlinear elliptic problems, Comm. Partial Differential Equations, 14 (1989), 663-680. | MR 993824 | Zbl 0678.35035

[7] Hartman, P. - Stampacchia, G., On some non-linear elliptic differential-functional equations, Acta Math., 115 (1966), 271-310. | MR 206537 | Zbl 0142.38102

[8] Stampacchia, G., Le probléme de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus, Ann. Inst. Fourier (Grenoble), 15 (1965), 189-258. | MR 192177 | Zbl 0151.15401