Bull. Korean Math. Soc. 2010; 47(6): 1235-1250
Printed November 1, 2010
https://doi.org/10.4134/BKMS.2010.47.6.1235
Copyright © The Korean Mathematical Society.
Ghasem A. Afrouzi, Shapour Heidarkhani, and Donal O'Regan
University of Mazandaran, Razi University, National University of Ireland
In this paper we establish the existence of at least three weak solutions for Neumann doubly eigenvalue elliptic systems driven by a $(p_{1},\ldots,p_{n})$-Laplacian. Our main tool is a recent three critical points theorem of B. Ricceri.
Keywords: three solutions, critical point, $(p_{1},\ldots,p_{n})$-Laplacian, multiplicity results, Neumann problem
MSC numbers: 35J65, 34A15
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