Bounded Solutions for Some Dirichlet Problems with Data
Bollettino dell'Unione Matematica Italiana (2007)
- Volume: 10-B, Issue: 3, page 785-795
- ISSN: 0392-4041
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topLeonori, Tommaso. "Bounded Solutions for Some Dirichlet Problems with $L^1(\Omega)$ Data." Bollettino dell'Unione Matematica Italiana 10-B.3 (2007): 785-795. <http://eudml.org/doc/290364>.
@article{Leonori2007,
abstract = {In this paper we prove the existence of a solution for a problem whose model is: \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*\} with $f(x)$ in $L^\{1\}(\Omega)$ and $\sigma$, $\gamma > 0$.},
author = {Leonori, Tommaso},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {10},
number = {3},
pages = {785-795},
publisher = {Unione Matematica Italiana},
title = {Bounded Solutions for Some Dirichlet Problems with $L^1(\Omega)$ Data},
url = {http://eudml.org/doc/290364},
volume = {10-B},
year = {2007},
}
TY - JOUR
AU - Leonori, Tommaso
TI - Bounded Solutions for Some Dirichlet Problems with $L^1(\Omega)$ Data
JO - Bollettino dell'Unione Matematica Italiana
DA - 2007/10//
PB - Unione Matematica Italiana
VL - 10-B
IS - 3
SP - 785
EP - 795
AB - In this paper we prove the existence of a solution for a problem whose model is: \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*} with $f(x)$ in $L^{1}(\Omega)$ and $\sigma$, $\gamma > 0$.
LA - eng
UR - http://eudml.org/doc/290364
ER -
References
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