On a nonlinear eigenvalue problem in OrliczSobolev spaces

J.-P. Gossez; R. Mansevich

doi:10.1017/S030821050000192X

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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On a nonlinear eigenvalue problem in OrliczSobolev spaces

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