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Open Access Research

Infinitely many solutions for class of Neumann quasilinear elliptic systems

Davood Maghsoodi Shoorabi1* and Ghasem Alizadeh Afrouzi2

Author Affiliations

1 Department of Mathematics, Science and Research Branch, Islamic Azad University (IAU), Tehran, Iran

2 Department of Mathematics, Faculty of Basic Sciences, University of Mazandaran, 47416-1467 Babolsar, Iran

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Boundary Value Problems 2012, 2012:54  doi:10.1186/1687-2770-2012-54

Published: 6 May 2012

Abstract

We investigate the existence of infinitely many weak solutions for a class of Neumann quasilinear elliptic systems driven by a (p1, ..., pn)-Laplacian operator. The technical approach is fully based on a recent three critical points theorem.

AMS subject classification: 35J65; 34A15.

Keywords:
infinitely many solutions; Neumann system; critical point theory; variational methods