ELLIPTIC PROBLEMS WITH DISCONTINUOUS NONLINEARITY AND L-1 DATA

Citation
M. Bocea et V. Radulescu, ELLIPTIC PROBLEMS WITH DISCONTINUOUS NONLINEARITY AND L-1 DATA, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 324(2), 1997, pp. 169-172
Citations number
7
Categorie Soggetti
Mathematics, General",Mathematics
ISSN journal
07644442
Volume
324
Issue
2
Year of publication
1997
Pages
169 - 172
Database
ISI
SICI code
0764-4442(1997)324:2<169:EPWDNA>2.0.ZU;2-6
Abstract
We define the notion of (very) weak solution for a class of semilinear elliptic problems with discontinuous nonlinearity and L-1 data. We pr ove the existence of such a solution by an approximation technique wit h L-2 datas.