Electron. J. Diff. Equ., Vol. 2014 (2014), No. 228, pp. 1-12.

Solutions to quasilinear equations of N-biharmonic type with degenerate coercivity

Sami Aouaoui

Abstract:
In this article we show the existence of multiple solutions for quasilinear equations in divergence form with degenerate coercivity. Our strategy is to combine a variational method and an iterative technique to obtain the solutions.

Submitted June 22, 2014. Published October 27, 2014.
Math Subject Classifications: 35D30, 35J20, 35J61, 58E05.
Key Words: Variational method; N-biharmonic operator; mountain pass theorem; minimax level; iterative scheme; critical point.

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Sami Aouaoui
Institut Supérieur des Mathématiques Appliquées
et de l'Informatique de Kairouan
Avenue Assad Iben Fourat, 3100 Kairouan, Tunisie
Phone +216 77 226 575, Fax +216 77 226 575
email: aouaouisami@yahoo.fr

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