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On a nonlinear eigenvalue problem in OrliczSobolev spaces
J.-P. Gossez, R. Mansevich
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Source: Crossref
Published: Aug 1, 2002
DOI: 10.1017/s030821050000192x
Open original source ↗Source abstract
We consider the eigenvalue problem in an arbitrary OrliczSobolev 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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