Some Developments on Dirichlet Problems with Discontinuous Coefficients

Lucio Boccardo

Bollettino dell'Unione Matematica Italiana (2009)

  • Volume: 2, Issue: 1, page 285-297
  • ISSN: 0392-4041

Abstract

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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]).

How to cite

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Boccardo, Lucio. "Some Developments on Dirichlet Problems with Discontinuous Coefficients." Bollettino dell'Unione Matematica Italiana 2.1 (2009): 285-297. <http://eudml.org/doc/290556>.

@article{Boccardo2009,
abstract = {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]).},
author = {Boccardo, Lucio},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {2},
number = {1},
pages = {285-297},
publisher = {Unione Matematica Italiana},
title = {Some Developments on Dirichlet Problems with Discontinuous Coefficients},
url = {http://eudml.org/doc/290556},
volume = {2},
year = {2009},
}

TY - JOUR
AU - Boccardo, Lucio
TI - Some Developments on Dirichlet Problems with Discontinuous Coefficients
JO - Bollettino dell'Unione Matematica Italiana
DA - 2009/2//
PB - Unione Matematica Italiana
VL - 2
IS - 1
SP - 285
EP - 297
AB - 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]).
LA - eng
UR - http://eudml.org/doc/290556
ER -

References

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  3. BOCCARDO, L. - GALLOUËT, T., Nonlinear elliptic and parabolic equations involving measure data, J. Funct. Anal., 87 (1989), 149-169. MR1025884DOI10.1016/0022-1236(89)90005-0
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  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. MR1194509
  6. BOCCARDO, L. - GIACHETTI, D., Existence results via regularity for some nonlinear elliptic problems, Comm. Partial Differential Equations, 14 (1989), 663-680. Zbl0678.35035MR993824DOI10.1080/03605308908820624
  7. HARTMAN, P. - STAMPACCHIA, G., On some non-linear elliptic differential-functional equations, Acta Math., 115 (1966), 271-310. Zbl0142.38102MR206537DOI10.1007/BF02392210
  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. Zbl0151.15401MR192177

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