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 |
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| container_issue | 4 |
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| container_title | Proceedings of the Royal Society of Edinburgh. Section A. Mathematics |
| container_volume | 132 |
| creator | Gossez, J.-P. Manasevich, R |
| description | 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. |
| doi_str_mv | 10.1017/S0308210502000434 |
| format | Article |
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| identifier | ISSN: 0308-2105 |
| ispartof | Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 2002-08, Vol.132 (4), p.891-909 |
| issn | 0308-2105 1473-7124 |
| language | eng |
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| source | Cambridge Journals - Connect here FIRST to enable access |
| title | On a nonlinear eigenvalue problem in Orlicz–Sobolev spaces |
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