Voir la notice de l'article provenant de la source Numdam
We present a revisited form of a result proved in [Boccardo, Murat and Puel, Portugaliae Math. 41 (1982) 507-534] and then we adapt the new proof in order to show the existence for solutions of quasilinear elliptic problems also if the lower order term has quadratic dependence on the gradient and singular dependence on the solution.
@article{COCV_2008__14_3_411_0,
author = {Boccardo, Lucio},
title = {Dirichlet problems with singular and gradient quadratic lower order terms},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {411--426},
publisher = {EDP-Sciences},
volume = {14},
number = {3},
year = {2008},
doi = {10.1051/cocv:2008031},
mrnumber = {2434059},
zbl = {1147.35034},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2008031/}
}
TY - JOUR AU - Boccardo, Lucio TI - Dirichlet problems with singular and gradient quadratic lower order terms JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2008 SP - 411 EP - 426 VL - 14 IS - 3 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/cocv:2008031/ DO - 10.1051/cocv:2008031 LA - en ID - COCV_2008__14_3_411_0 ER -
%0 Journal Article %A Boccardo, Lucio %T Dirichlet problems with singular and gradient quadratic lower order terms %J ESAIM: Control, Optimisation and Calculus of Variations %D 2008 %P 411-426 %V 14 %N 3 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/cocv:2008031/ %R 10.1051/cocv:2008031 %G en %F COCV_2008__14_3_411_0
Boccardo, Lucio. Dirichlet problems with singular and gradient quadratic lower order terms. ESAIM: Control, Optimisation and Calculus of Variations, Tome 14 (2008) no. 3, pp. 411-426. doi: 10.1051/cocv:2008031
Cité par Sources :