2005-Oujda International Conference on Nonlinear Analysis, Oujda, Morocco.
Electron. J. Diff. Eqns., Conference 14 (2006), pp. 207-222.

Asymmetric elliptic problems in $R^N$

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
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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