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Boccardo, Lucio and Brezis, Haïm:
Some remarks on a class of elliptic equations with degenerate coercivity
Bollettino dell'Unione Matematica Italiana Serie 8 6-B (2003), fasc. n.3, p. 521-530, Unione Matematica Italiana (English)
pdf (244 Kb), djvu (128 Kb). | MR2014815 | Zbl 1178.35183

Sunto

Si studiano problemi ellittici degeneri del tipo \begin{equation} \begin{cases} - \text{div}\, \left( \frac{\nabla u }{(1+|u|)^{\theta}} \right) = f & \text{in } \Omega \\ u=0 & \text{on } \Omega. \end{cases} \end{equation}
Referenze Bibliografiche
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[2] A. ALVINO-L. BOCCARDO-V. FERONE-L. ORSINA-G. TROMBETTI, Existence results for nonlinear elliptic equations with degenerate coercivity, preprint. | MR 1970464 | Zbl 1105.35040
[3] P. BENILAN-L. BOCCARDO-T. GALLOUËT-R. GARIEPY-M. PIERRE-J.L. VAZQUEZ, An $L^1$ theory of existence and uniqueness of nonlinear elliptic equations, Ann. Scuola Norm. Sup. Pisa Cl. Sci., 22 (1995), 240-273. | fulltext mini-dml | MR 1354907 | Zbl 0866.35037
[4] P. BENILAN-H. BREZIS-M. G. CRANDALL, A semilinear equation in $L^1(\mathbb{R}^N)$, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 2, no. 4 (1975), 523-555. | fulltext mini-dml | MR 390473 | Zbl 0314.35077
[5] L. BOCCARDO-A. DALL'AGLIO-L. ORSINA: Existence and regularity results for some elliptic equations with degenerate coercivity, Atti Sem. Mat. Fis. Univ. Modena, 46 (1998), suppl., 51-81. | MR 1645710 | Zbl 0911.35049
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[7] L. BOCCARDO-D. GIACHETTI, $L^s$-regularity of solutions of some nonlinear elliptic problems, preprint.
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[9] P. HARTMAN-G. STAMPACCHIA: On some nonlinear elliptic differential-functional equations, Acta Math., 115 (1966), 271-310. | MR 206537 | Zbl 0142.38102
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[11] G. STAMPACCHIA, Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus, Ann. Inst. Fourier (Grenoble), 15 (1965), 189-258. | fulltext mini-dml | MR 192177 | Zbl 0151.15401

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