# THREE SOLUTIONS TO A CLASS OF NEUMANN DOUBLY EIGENVALUE ELLIPTIC SYSTEMS DRIVEN BY A (p1,...,pn)-LAPLACIAN

• Afrouzi, Ghasem A. (DEPARTMENT OF MATHEMATICS FACULTY OF BASIC SCIENCES UNIVERSITY OF MAZANDARAN) ;
• Heidarkhani, Shapour (DEPARTMENT OF MATHEMATICS FACULTY OF BASIC SCIENCES RAZI UNIVERSITY) ;
• O'Regan, Donal (DEPARTMENT OF MATHEMATICS NATIONAL UNIVERSITY OF IRELAND)
• Published : 2010.11.30

#### Abstract

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.

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