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Lower and upper solutions for elliptic problems in nonsmooth domains |
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| Authors: | Colette De Coster Serge Nicaise |
| Affiliation: | a LMPA Liouville, Université du Littoral-Côte d'Opale, 50, rue Ferdinand Buisson, B.P. 699, F-62228 Calais Cedex, France b Université de Valenciennes et du Hainaut Cambrésis, LAMAV, Institut des Sciences et Techniques de Valenciennes, F-59313 Valenciennes Cedex 9, France |
| Abstract: | In this paper we prove some existence results of semilinear Dirichlet problems in nonsmooth domains in presence of lower and upper solutions well-ordered or not. We first prove existence results in an abstract setting using degree theory. We secondly apply them for domains with conical points. |
| Keywords: | 35J25 35J60 |
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