Leonori: Bounded Solutions for Some Dirichlet Problems with $L^1(\Omega)$ Data

Leonori, Tommaso:
Bounded Solutions for Some Dirichlet Problems with $L^1(\Omega)$ Data
Bollettino dell'Unione Matematica Italiana Serie 8 10-B (2007), fasc. n.3, p. 785-795, Unione Matematica Italiana (English)
pdf (448 Kb), djvu (90 Kb). | MR 2507896 | Zbl 1184.35129

Sunto

In questo lavoro viene dimostrata l'esistenza di una soluzione per un problema il cui modello è: \begin{equation*} \begin{cases} -\Delta u + \frac{u}{\sigma - |u|} = \gamma |\nabla u|^{2} + f(x) & \text{in } \Omega \\ u = 0 & \text{on } \partial \Omega \end{cases} \end{equation*} con $f(x)$ in $L^{1}(\Omega)$ e $\sigma$, $\gamma > 0$.

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Referenza completa

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Referenze Bibliografiche