MULTIPLE SOLUTIONS FOR A NEUMANN-TYPE DIFFERENTIAL INCLUSION PROBLEM INVOLVING THE p(.)-LAPLACIAN

被引：12

作者：

Chinni, Antonia ^{[1
]}

Livrea, Roberto ^{[2
]}

机构：

[1] Univ Messina, Fac Engn, Dept Sci Engn & Architecture, Math Sect, I-98166 Messina, Italy

[2] Univ Reggio Calabria, Fac Engn, Dept MECMAT, I-89100 Reggio Di Calabria, Italy

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2012年 / 5卷 / 04期

关键词：

p(x)-Laplacian; variable exponent Sobolev space; critical points of locally Lipschitz continuous functionals; differential inclusion problem; three-critical-points theorem; CRITICAL-POINTS; VARIATIONAL PRINCIPLE; ELLIPTIC PROBLEMS; FUNCTIONALS; EXISTENCE;

D O I：

10.3934/dcdss.2012.5.753

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using a multiple critical points theorem for locally Lipschitz continuous functionals, we establish the existence of at least three distinct solutions for a Neumann-type differential inclusion problem involving the p(.)-Laplacian.

引用

页码：753 / 764

页数：12

共 50 条

[21] Multiplicity of solutions for differential inclusion problems in involving the p(x)-Laplacian
Ge, Bin
Zhou, Qing-Mei
Xue, Xiao-Ping
MONATSHEFTE FUR MATHEMATIK, 2012, 168 (3-4): : 363 - 380
[22] 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
[23] Existence of infinitely many solutions for a Neumann problem involving the p(x)-Laplacian
Fan, Xianling
Ji, Chao
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 334 (01) : 248 - 260
[24] Three solutions to a Neumann problem for elliptic equations involving the p-Laplacian
G. Bonanno
P. Candito
Archiv der Mathematik, 2003, 80 : 424 - 429
[25] Homoclinic solutions for a differential inclusion system involving the p(t)-Laplacian
Cheng, Jun
Chen, Peng
Zhang, Limin
ADVANCES IN NONLINEAR ANALYSIS, 2023, 12 (01)
[26] Three Solutions for a Discrete Nonlinear Neumann Problem Involving the p-Laplacian
Candito, Pasquale
D'Agui, Giuseppina
ADVANCES IN DIFFERENCE EQUATIONS, 2010,
[27] THREE SOLUTIONS FOR A NEUMANN BOUNDARY VALUE PROBLEM INVOLVING THE p-LAPLACIAN
Averna, Diego
Bonanno, Gabriele
MATEMATICHE, 2005, 60 (01): : 81 - 91
[28] Multiple solutions to a class of inclusion problem with the p(x)-Laplacian
Ge, Bin
Zhou, Qing Mei
APPLICABLE ANALYSIS, 2012, 91 (05) : 895 - 909
[29] Infinitely many solutions for a differential inclusion problem in RN involving p(x)-Laplacian and oscillatory terms
Ge, Bin
Zhou, Qing-Mei
Xue, Xiao-Ping
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2012, 63 (04): : 691 - 711
[30] Multiple solutions for a Kirchhoff-type problem involving the p(x)-Laplacian operator
Cammaroto, F.
Vilasi, L.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (05) : 1841 - 1852

← 1 2 3 4 5 →