Some remarks on a class of elliptic equations with degenerate coercivity

Boccardo, Lucio; Brezis, Haïm

Bollettino dell'Unione Matematica Italiana, Tome 6-A (2003), p. 521-530 / Harvested from Biblioteca Digitale Italiana di Matematica

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Abstract
Résumé

We study degenerate elliptic problems of the type \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}

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}

Publié le : 2003-10-01

MR 2014815 | Zbl 1178.35183

@article{BUMI_2003_8_6B_3_521_0,
     author = {Lucio Boccardo and Ha\"\i m Brezis},
     title = {Some remarks on a class of elliptic equations with degenerate coercivity},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {6-A},
     year = {2003},
     pages = {521-530},
     zbl = {1178.35183},
     mrnumber = {2014815},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2003_8_6B_3_521_0}
}

Boccardo, Lucio; Brezis, Haïm. Some remarks on a class of elliptic equations with degenerate coercivity. Bollettino dell'Unione Matematica Italiana, Tome 6-A (2003) pp. 521-530. http://gdmltest.u-ga.fr/item/BUMI_2003_8_6B_3_521_0/

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