NON-SMOOTH EXTENSION OF A THREE CRITICAL POINTS THEOREM BY RICCERI WITH AN APPLICATION TO p(x)-LAPLACIAN DIFFERENTIAL INCLUSIONS

被引：0

作者：

Yuan, Ziqing ^{[1
]}

Huang, Lihong ^{[1
]}

机构：

[1] Hunan Univ, Coll Math & Econ, Changsha 410082, Hunan, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2015年

基金：

中国国家自然科学基金;

关键词：

Nonsmooth critical point theory; locally Lipschitz; differential inclusion; p(x)-Laplacian; LINEAR ELLIPTIC-EQUATIONS; DIRICHLET PROBLEM;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We extend a smooth Ricceri three critical-points theorem to a non-smooth case. Our approach is based on the non-smooth analysis. As an application, we obtain the existence of at least three critical points for a p(x)-Laplacian differential inclusion.

引用

页数：16

共 12 条

[1] A non-smooth three critical points theorem with applications in differential inclusions
Alexandru Kristály
Waclaw Marzantowicz
Csaba Varga
Journal of Global Optimization, 2010, 46 : 49 - 62
[2] A non-smooth three critical points theorem with applications in differential inclusions
Kristaly, Alexandru
Marzantowicz, Waclaw
Varga, Csaba
JOURNAL OF GLOBAL OPTIMIZATION, 2010, 46 (01) : 49 - 62
[3] A three critical point theorem for non-smooth functionals with application in differential inclusions
GHASEM A AFROUZI
MOHAMMAD B GHAEMI
SHIRIN MIR
Proceedings - Mathematical Sciences, 2015, 125 : 521 - 535
[4] A three critical point theorem for non-smooth functionals with application in differential inclusions
Afrouzi, Ghasem A.
Ghaemi, Mohammad B.
Mir, Shirin
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2015, 125 (04): : 521 - 535
[5] Three solutions of p-Laplacian equations via a critical point theorem of Ricceri
Chun-yan Xue
He-yu Xu
Acta Mathematicae Applicatae Sinica, English Series, 2014, 30 : 171 - 178
[6] Three Solutions of p-Laplacian Equations Via a Critical Point Theorem of Ricceri
Chun-yan XUE
He-yu XU
Acta Mathematicae Applicatae Sinica, 2014, (01) : 171 - 178
[7] Three Solutions of p-Laplacian Equations Via a Critical Point Theorem of Ricceri
Xue, Chun-yan
Xu, He-yu
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2014, 30 (01): : 171 - 178
[8] EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR P(X)-LAPLACIAN DIFFERENTIAL INCLUSIONS INVOLVING CRITICAL GROWTH
Yuan, Ziqing
Huang, Mugen
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2020, 10 (04): : 1416 - 1432
[9] h- p Spectral element methods for three dimensional elliptic problems on non-smooth domains, Part-II: Proof of stability theorem
P DUTT
AKHLAQ HUSAIN
A S VASUDEVA MURTHY
C S UPADHYAY
Proceedings - Mathematical Sciences, 2015, 125 : 413 - 447
[10] h-p Spectral element methods for three dimensional elliptic problems on non-smooth domains, Part-II: Proof of stability theorem
Dutt, P.
Husain, Akhlaq
Murthy, A. S. Vasudeva
Upadhyay, C. S.
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2015, 125 (03): : 413 - 447

← 1 2 →