We consider quasilinear elliptic equations with lower order term and general measure data. We define renormalized solutions of Dirichlet problems and show the existence of such solutions. We also give uniqueness in some special cases.
Publié le : 2008-03-15
Classification:
quasi-linear equation,
renormalized solution,
Dirichlet problem,
general measure data,
35J65,
31C45
@article{1207580345,
author = {Maeda, F.},
title = {Renormalized solutions of Dirichlet problems for quasilinear elliptic equations with general measure data},
journal = {Hiroshima Math. J.},
volume = {38},
number = {1},
year = {2008},
pages = { 51-93},
language = {en},
url = {http://dml.mathdoc.fr/item/1207580345}
}
Maeda, F. Renormalized solutions of Dirichlet problems for quasilinear elliptic equations with general measure data. Hiroshima Math. J., Tome 38 (2008) no. 1, pp. 51-93. http://gdmltest.u-ga.fr/item/1207580345/