Boccardo, Lucio: 
Finite Energy Solutions of Nonlinear Dirichlet Problems with Discontinuous Coefficients
 Bollettino dell'Unione Matematica Italiana Serie 9 5 (2012), fasc. n.2, p. 357-368,  (English)
pdf (283 Kb), djvu (104 Kb).  | MR 2977253  | Zbl 1258.35095 
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This paper dedicated to the memory of Enrico Magenes, concerning a nonlinear Dirichlet problem, follows the previous one ([1]) dedicated to the memory of Guido Stampacchia, concerning a similar linear problem (see [14]).
Referenze Bibliografiche
[2] 
L. BOCCARDO, 
A remark on some nonlinear elliptic problems, 2001-Luminy Conference on Quasilinear Elliptic and Parabolic Equations and Systems, 
Electron. J. Diff. Eqns., Conf., 
8 (
2002), 47-52. | 
fulltext EuDML | 
MR 1990295 | 
Zbl 1034.35032[3] 
L. BOCCARDO - 
A. DALL'AGLIO - 
L. ORSINA, 
Existence and regularity results for some elliptic equations with degenerate coercivity. Dedicated to Prof. C. Vinti (Italian) (Perugia, 1996). 
Atti Sem. Mat. Fis. Univ. Modena, 
46 (
1998), suppl., 51-81. | 
MR 1645710[5] 
L. BOCCARDO - 
D. GIACHETTI, 
A nonlinear interpolation result with application to the summability of minima of some integral functionals, 
Discrete and Continuous Dynamical Systems, Series B, 
11 (
2009), 31-42. | 
fulltext (doi) | 
MR 2461806 | 
Zbl 1369.35017[6] 
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. | 
fulltext (doi) | 
MR 1251852 | 
Zbl 0803.35046[7] 
L. BOCCARDO - 
T. GALLOUET - 
F. MURAT, 
Unicité de la solution pour des equations elliptiques non linéaires, 
C. R. Acad. Sc. Paris, 
315 (
1992), 1159-1164. | 
MR 1194509[8] 
L. BOCCARDO - 
F. MURAT, 
Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations, 
Nonlinear Anal TMA, 
19 (
1992), 581- 597. | 
fulltext (doi) | 
MR 1183665 | 
Zbl 0783.35020[9] 
L. BOCCARDO - 
F. MURAT - 
J.-P. PUEL, 
Existence of bounded solutions for nonlinear elliptic unilateral problems, 
Ann. Mat. Pura Appl., 
152 (
1988), 183-196. | 
fulltext (doi) | 
MR 980979 | 
Zbl 0687.35042[10] 
H. BREZIS, 
Equations et inéquations non linéaires dans les espaces vectoriels en dualité, 
Ann. Inst. Fourier (Grenoble), 
18 (
1968), 115-175. | 
fulltext EuDML | 
MR 270222 | 
Zbl 0169.18602[11] 
F. E. BROWDER, 
Existence theorems for nonlinear partial differential equations, 
Proceedings of Symposia in Pure Mathematics, vol. 
XVI, 
American Mathematical Society, Providence (
1970), 1-60. | 
MR 269962[12] 
J. CASADO-DIAZ - 
F. MURAT - 
A. PORRETTA, 
Uniqueness results for pseudomonotone problems with $p > 2$, 
C. R. Math. Acad. Sci. Paris, 
344 (
2007), 487-492. | 
fulltext (doi) | 
MR 2324483 | 
Zbl 1118.35307[13] 
J. LERAY - 
J. L. LIONS, 
Quelques résultats de Višik sur les problèmes elliptiques semi-linéaires par les méthodes de Minty et Browder, 
Bull. Soc. Math. France, 
93 (
1965), 97-107. | 
fulltext EuDML | 
MR 194733 | 
Zbl 0132.10502[14] 
E. MAGENES - 
G. STAMPACCHIA, 
I problemi al contorno per le equazioni differenziali di tipo ellittico, 
Ann. Scuola Norm. Sup. Pisa, 
12 (
1958), 247-358. | 
fulltext EuDML | 
MR 123818[16] 
S. PUGLISI, 
Some regularity results for solutions to Dirichlet problems with discontinuous coefficients, preprint. | 
Zbl 1303.35032[17] 
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 192177 | 
Zbl 0151.15401