Multiple positive solutions for singularly perturbed elliptic problems in exterior domains
Giovanna Cerami
Dipartimento di Matematica ed Applicazioni, Università di Palermo, Via Archirafi n. 34, 90123 Palermo, ItalyRiccardo Molle
Dipartimento di Matematica, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica n. 1, 00133 Roma, Italy
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Abstract
The equation with boundary Dirichlet zero data is considered in an exterior domain ( bounded and ). Under the assumption that concentrates round a point of as , that and when , the existence of at least three positive distinct solutions is proved.
Résumé
Dans cet article on étude l’équation dans l’ouvert extérieur ( borné et ), avec la condition de Dirichlet sur . En supposant que se concentre autour d’un point du domaine quand , que et que quand , on démontre que le problème possède au moins trois solutions distinctes.
Cite this article
Giovanna Cerami, Riccardo Molle, Multiple positive solutions for singularly perturbed elliptic problems in exterior domains. Ann. Inst. H. Poincaré Anal. Non Linéaire 20 (2003), no. 5, pp. 759–777
DOI 10.1016/S0294-1449(02)00030-6