Scopus: 23 cites,
A Nonlinear eigenvalue problem with indefinite weights related to the Sobolev trace embedding
Fernández Bonder, Julián
Rossi, Julio D.

Data: 2002
Resum: In this paper we study the Sobolev trace embedding W1,p([omega]) -->LpV ([delta omega]), where V is an indefinite weight. This embedding leads to a nonlinear eigenvalue problem where the eigenvalue appears at the (nonlinear) boundary condition. We prove that there exists a sequence of variational eigenvalues [lambda]k --> +[infinity] and then show that the first eigenvalue is isolated, simple and monotone with respect to the weight. Then we prove a nonexistence result related to the first eigenvalue and we end this article with the study of the second eigenvalue proving that it coincides with the second variational eigenvalue.
Drets: Tots els drets reservats.
Llengua: Anglès.
Document: Article ; recerca ; article ; publishedVersion
Publicat a: Publicacions matematiques, V. 46 N. 1 (2002) , p. 221-235, ISSN 0214-1493

Adreça original:
DOI: 10.5565/PUBLMAT_46102_12

15 p, 173.1 KB

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