On a nonlinear eigenvalue problem in Orlicz–Sobolev spaces

On a nonlinear eigenvalue problem in Orlicz–Sobolev spaces

We consider the eigenvalue problem in an arbitrary Orlicz-Sobolev space. We show that the existence of an eigenvalue can be derived from a generalized version of Lagrange multiplier rule. Our approach also applies to more general problems. We emphasize that no 2 condition is imposed.

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Veröffentlicht in:Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2002-08, Vol.132 (4), p.891-909
Hauptverfasser: Gossez, J.-P., Manasevich, R
Format: Artikel
Sprache:eng
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Zusammenfassung:We consider the eigenvalue problem in an arbitrary Orlicz-Sobolev space. We show that the existence of an eigenvalue can be derived from a generalized version of Lagrange multiplier rule. Our approach also applies to more general problems. We emphasize that no 2 condition is imposed.
ISSN:0308-2105
1473-7124
DOI:10.1017/S0308210502000434