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

共 50 条

[21] Three solutions to a Neumann problem for elliptic equations involving the p-Laplacian
Bonanno, G
Candito, P
ARCHIV DER MATHEMATIK, 2003, 80 (04) : 424 - 429
[22] MULTIPLE SOLUTIONS FOR A CLASS OF DIRICHLET QUASILINEAR ELLIPTIC SYSTEMS DRIVEN BY A (P, Q)-LAPLACIAN OPERATOR
Bonanno, Gabriele
Heidarkhani, Shapour
O'regan, Donal
DYNAMIC SYSTEMS AND APPLICATIONS, 2011, 20 (01): : 89 - 99
[23] Infinitely Many Solutions for a Class of Systems Including the (p1, • • •, pn)-Biharmonic Operators
Mahshid, Mirkeysaan
Razani, Abdolrahman
FILOMAT, 2022, 36 (07) : 2303 - 2310
[24] Multiple Solutions to a (p1(x),..., pn(x))-Laplacian-type Systems in Unbounded Domain
Eddine, N. Chems
Idrissi, A. A.
AZERBAIJAN JOURNAL OF MATHEMATICS, 2020, 10 (01): : 3 - 20
[25] THREE SOLUTIONS FOR A CLASS OF QUASILINEAR DIRICHLET ELLIPTIC SYSTEMS INVOLVING (P, Q)-LAPLACIAN OPERATOR
Afrouzi, G. A.
Shamlo, S.
Mahdavi, M.
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2012, 4 (03): : 487 - 493
[26] Infinitely many solutions for nonlocal elliptic systems of (p1(x), ..., pn(x))-Kirchhoff type
Miao, Qing
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (09) : 2325 - 2333
[27] Existence of three solutions for a class of quasilinear elliptic systems involving the (p(x), q(x))-Laplacian
Liu, Jingjing
Shi, Xiayang
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (1-2) : 550 - 557
[28] Lyapunov-type inequality for a class of Dirichlet quasilinear systems involving the (p1, p2, ... , pn)-Laplacian
Cakmak, Devrim
Tiryaki, Aydin
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 369 (01) : 76 - 81
[29] Existence of three solutions for a class of elliptic eigenvalue problems
Ricceri, B
MATHEMATICAL AND COMPUTER MODELLING, 2000, 32 (11-13) : 1485 - 1494
[30] Non-trivial solutions for a class of (p1, . . . , pn)-biharmonic systems with Navier boundary conditions
Heidarkhani, Shapour
ANNALES POLONICI MATHEMATICI, 2012, 105 (01) : 65 - 76

← 1 2 3 4 5 →