The effect of concentrating potentials in some singularly perturbed problems |
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| Authors: | G Cerami D Passaseo |
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| Institution: | (1) Dipartimento di Matematica ed Applicazioni, Università di Palermo, via Archirafi 34, 90123 Palermo, Italy (e-mail: cerami@dipmat.math.unipa.it) , IT;(2) Dipartimento di Matematica ”Ennio De Giorgi”, Università di Lecce, via Provinciale Lecce, Arnesano - 73100 Lecce, Italy (e-mail: passaseo@ilenic.unile.it) , IT |
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| Abstract: | The equation with boundary Dirichlet zero data is considered in a bounded domain . Under the assumption that concentrates, as , round a manifold and that f is a superlinear function, satisfying suitable growth assumptions, the existence of multiple distinct positive solutions
is proved.
Received: 19 December 2000 / Accepted: 8 May 2001 / Published online: 5 September 2002 |
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| Keywords: | Mathematics Subject Classification (2000): 35J20 35J25 35J60 |
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