Electron. J. Diff. Equ., Vol. 2010(2010), No. 45, pp. 1-10.

Existence of solutions for an eigenvalue problem with weight

Abdel Rachid El Amrouss, Siham El Habib, Najib Tsouli

Abstract:
In this work we study the existence of solutions for the nonlinear eigenvalue problem with p-biharmonic $ \Delta_p^2 u =\lambda m(x)|u|^{p-2}u$ in a smooth bounded domain under Neumann boundary conditions.

Submitted December 11, 2009. Published March 26, 2010.
Math Subject Classifications: 35J66, 35P30, 58E05.
Key Words: p-Biharmonic operator; Existence of solutions; Neumann problem

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Abdel Rachid El Amrouss
University Mohamed I, Faculty of sciences
Department of Mathematics
Oujda, Morocco
email: elamrouss@fso.ump.ma, elamrouss@hotmail.com
Siham El Habib
University Mohamed I, Faculty of sciences
Department of Mathematics
Oujda, Morocco
email: s-elhabib@hotmail.com
Najib Tsouli
University Mohamed I, Faculty of sciences
Department of Mathematics
Oujda, Morocco
email: tsouli@hotmail.com

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