Three Solutions for a Class of Quasilinear Dirichlet Elliptic Systems Involving (p, Q)-laplacian Operator

Volume 4, Issue 3, pp 487--493 http://dx.doi.org/10.22436/jmcs.04.03.23

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Authors

G. A. Afrouzi - Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran S. Shamlo - Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran M. Mahdavi - Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran

Abstract

We investigate the existence of three distinct solutions for a class of quasilinearDirichlet ellipticsystems involving the (p,q)-Laplacian operator. Our main tool is a recentthree critical points Theorem of B. Ricceri [On a three critical points theorem, Arch. Math (Basel) 75 (2000) 220-226.

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Keywords

• Three solutions
• Critical points
• Dirichlet Systems
• Multiplicity result .

MSC

•  35J92
•  35J60
•  47H05
•  47J25

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