THREE SOLUTIONS FOR A NEUMANN BOUNDARY VALUE PROBLEM INVOLVING THE p-LAPLACIAN

被引:0
作者
Averna, Diego [1 ]
Bonanno, Gabriele [1 ]
机构
[1] Univ Palermo, Dipartimento Matemat Appl, Via Archirafi 34, I-90123 Palermo, Italy
来源
MATEMATICHE | 2005年 / 60卷 / 01期
关键词
Neumann problem; p-Laplacian; Critical points; Three solutions;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this note we prove the existence of an open interval]lambda', lambda" [ for each lambda of which a Neumann boundary value problem involving the p- Laplacian and depending on lambda admits at least three solutions. The result is based on a recent three critical points theorem.
引用
收藏
页码:81 / 91
页数:11
相关论文
共 11 条
[1]  
Anello G, 2003, J CONVEX ANAL, V10, P185
[2]   Existence of solutions of the Neumann problem for a class of equations involving the p-Laplacian via a variational principle of Ricceri [J].
Anello, G ;
Cordaro, G .
ARCHIV DER MATHEMATIK, 2002, 79 (04) :274-287
[3]   Three solutions for a quasilinear two-point boundary-value problem involving the one-dimensional p-laplacian [J].
Averna, D ;
Bonanno, G .
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2004, 47 :257-270
[4]  
Averna D., 2003, TOPOL METHOD NONL AN, V22, P93
[5]  
Binding P A, 1997, ELECT J DIFFERENTIAL, V5, P1
[6]   Three solutions to a Neumann problem for elliptic equations involving the p-Laplacian [J].
Bonanno, G ;
Candito, P .
ARCHIV DER MATHEMATIK, 2003, 80 (04) :424-429
[7]  
Bonanno G., 2003, J NONLINEAR CONVEX A, V4, P287
[8]   Multiplicity results for a Neumann problem involving the p-Laplacian [J].
Faraci, F .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 277 (01) :180-189
[9]   MULTIPLE POSITIVE SOLUTIONS FOR A CLASS OF SEMIPOSITONE NEUMANN 2 POINT BOUNDARY-VALUE-PROBLEMS [J].
MICIANO, AR ;
SHIVAJI, R .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1993, 178 (01) :102-115
[10]   A general variational principle and some of its applications [J].
Ricceri, B .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2000, 113 (1-2) :401-410