On the Existence of Positive Solutions of Slightly Supercritical Elliptic Equations
Abstract: In this paper we deal with existence and multiplicity of solutions for problem P (ε, Ω) below, in bounded domains Ω which do not satisfy some symmetry prop erties that play an important role in the proof of previous results on this subject. For ε > 0 small and k large enough, we construct solutions blowing up, as ε → 0, at exactly k points which approach the boundary of Ω as k tends to infinity. We also present some examples showing that solutions of this type also exist in some contractible domains which may be even very close to starshaped domains.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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On the Existence of Positive Solutions of Slightly Supercritical Elliptic Equations ; volume:3 ; number:3 ; year:2003 ; pages:301-326 ; extent:26
Advanced nonlinear studies ; 3, Heft 3 (2003), 301-326 (gesamt 26)
- Creator
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Molle, Riccardo
Passaseo, Donato
- DOI
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10.1515/ans-2003-0301
- URN
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urn:nbn:de:101:1-2405021637463.858866938580
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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14.08.2025, 10:48 AM CEST
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Associated
- Molle, Riccardo
- Passaseo, Donato
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