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

被引：13

作者：

Afrouzi, Ghasem A. ^{[1
]}

Heidarkhani, Shapour ^{[2
]}

O'Regan, Donal ^{[3
]}

机构：

[1] Univ Mazandaran, Fac Basic Sci, Dept Math, Babol Sar 474161467, Iran

[2] Razi Univ, Fac Basic Sci, Dept Math, Kermanshah 67149, Iran

[3] Natl Univ Ireland, Dept Math, Galway, Ireland

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2010年 / 47卷 / 06期

关键词：

three solutions; critical point; (p(1); .; p(n))-Laplacian; multiplicity results; Neumann problem; CRITICAL-POINTS THEOREM; EXISTENCE;

D O I：

10.4134/BKMS.2010.47.6.1235

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we establish the existence of at least three weak solutions for Neumann doubly eigenvalue elliptic systems driven by a (P-1, ... , p(n))-Laplacian. Our main tool is a recent three critical points theorem of B. Ricceri.

引用

页码：1235 / 1250

页数：16

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