Geodesic
Some Developments on Dirichlet Problems with Discontinuous Coefficients
Bollettino della Unione matematica italiana, Série 9, Tome 2 (2009) no. 1, pp. 285-297.

Voir la notice de l'article provenant de la source 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]). 
@article{BUMI_2009_9_2_1_a15,
     author = {Boccardo, Lucio},
     title = {Some {Developments} on {Dirichlet} {Problems} with {Discontinuous} {Coefficients}},
     journal = {Bollettino della Unione matematica italiana},
     pages = {285--297},
     publisher = {mathdoc},
     volume = {Ser. 9, 2},
     number = {1},
     year = {2009},
     zbl = {1178.35367},
     mrnumber = {2493657},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2009_9_2_1_a15/}
}
TY  - JOUR
AU  - Boccardo, Lucio
TI  - Some Developments on Dirichlet Problems with Discontinuous Coefficients
JO  - Bollettino della Unione matematica italiana
PY  - 2009
SP  - 285
EP  - 297
VL  - 2
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/BUMI_2009_9_2_1_a15/
LA  - en
ID  - BUMI_2009_9_2_1_a15
ER  - 
%0 Journal Article
%A Boccardo, Lucio
%T Some Developments on Dirichlet Problems with Discontinuous Coefficients
%J Bollettino della Unione matematica italiana
%D 2009
%P 285-297
%V 2
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/BUMI_2009_9_2_1_a15/
%G en
%F BUMI_2009_9_2_1_a15
Boccardo, Lucio. Some Developments on Dirichlet Problems with Discontinuous Coefficients. Bollettino della Unione matematica italiana, Série 9, Tome 2 (2009) no. 1, pp. 285-297. http://geodesic.mathdoc.fr/item/BUMI_2009_9_2_1_a15/

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

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

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

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

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

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

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

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