Jean-Pierre Gossez, Liamidi Leadi
Abstract:
We work on the whole $R^N$ and prove the existence of a
first nonprincipal eigenvalue for an asymmetric problem with
weights involving the p-Laplacian. As an
application we obtain a first nontrivial curve in the
corresponding Fucik spectrum.
Published September 20, 2006.
Math Subject Classifications: 35P30, 35J20, 35J60.
Key Words: Principal eigenvalue; indefinite weight; unbounded domain;
p-Laplacian; Fucik spectrum.
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Jean-Pierre Gossez Département de Mathématique C. P. 214, Université Libre de Bruxelles 1050 Bruxelles, Belgium email: gossez@ulb.ac.be |
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Liamidi Leadi Institut de Mathématiques et de Sciences Physiques Université d'Abomey Calavi 01 BP : 613 Porto-Novo, Bénin Republic (West Africa) email: leadiare@imsp-uac.org leadiare@yahoo.com |
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