Electron. J. Diff. Equ., Vol. 2010(2010), No. 41, pp. 1-6.

Multiplicity results for p-sublinear p-Laplacian problems involving indefinite eigenvalue problems via Morse theory

Kanishka Perera, Ravi P. Agarwal, Donal O'Regan

Abstract:
We establish some multiplicity results for a class of p-sublinear p-Laplacian problems involving indefinite eigenvalue problems using Morse theory.

Submitted December 2, 2009. Published March 19, 2010.
Math Subject Classifications: 35J20, 47J10, 58E05.
Key Words: p-Laplacian problems; p-sublinear; multiplicity results; indefinite eigenvalue problems; Morse theory.

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Kanishka Perera
Department of Mathematical Sciences, Florida Institute of Technology
Melbourne, FL 32901, USA
email: kperera@fit.edu
Ravi P. Agarwal
Department of Mathematical Sciences, Florida Institute of Technology
Melbourne, FL 32901, USA
email: agarwal@fit.edu
Donal O'Regan
Department of Mathematics, National University of Ireland
Galway, Ireland
email: donal.oregan@nuigalway.ie

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