Positive solutions of semilinear elliptic problems in unbounded domains with unbounded boundary
Giovanna Cerami
Dipartimento di Matematica, Politecnico di Bari, Campus Universitario, Via Orabona 4, 70125 Bari, ItalyRiccardo Molle
Dipartimento di Matematica, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica n○ 1, 00133 Roma, ItalyDonato Passaseo
Dipartimento di Matematica “E. De Giorgi”, Università di Lecce, P.O. Box 193, 73100 Lecce, Italy
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Abstract
This paper is concerned with the existence and multiplicity of positive solutions of the equation , , with Dirichlet zero data, in an unbounded smooth domain having unbounded boundary. Under the assumptions:
the existence of at least solutions is proved.
Résumé
Dans cet article on étudie l'existence et la multiplicité de solutions positives pour l'équation , , avec la condition de Dirichlet sur . Le domaine est non borné et est non borné aussi. En supposant que les conditions
soient vérifiées, on démontre que le problème possède au moins solutions.
Cite this article
Giovanna Cerami, Riccardo Molle, Donato Passaseo, Positive solutions of semilinear elliptic problems in unbounded domains with unbounded boundary. Ann. Inst. H. Poincaré Anal. Non Linéaire 24 (2007), no. 1, pp. 41–60
DOI 10.1016/J.ANIHPC.2005.09.007