Critical point theorems and applications to differential equations

被引：8

作者：

El Amrouss, AR ^{[1
]}

机构：

[1] Univ Mohamed I, Fac Sci, Dept Math, Oujda, Morocco

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2005年 / 21卷 / 01期

关键词：

critical point theory; semilinear elliptic boundary values problems; Hamiltonian systems; resonance;

D O I：

10.1007/s10114-004-0442-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper contains a generalization of the well-known Palais-Smale and Cerami compactness conditions. The compactness condition introduced is used to prove some general existence theorems for critical points. Some applications are given to differential equations.

引用

页码：129 / 142

页数：14

共 50 条

[1] Critical Point Theorems and Applications to Differential Equations
A.R.EL AMROUSS
ActaMathematicaSinica(EnglishSeries), 2005, 21 (01) : 129 - 142
[2] Critical Point Theorems and Applications to Differential Equations
A. R. El Amrouss
Acta Mathematica Sinica, 2005, 21 : 129 - 142
[3] Some Abstract Critical Point Theorems and Applications in Wave Equations
Li, Jiayang
Wang, Qi
Wu, Li
FRONTIERS OF MATHEMATICS, 2025, 20 (02): : 279 - 298
[4] Comparison theorems in delay differential equations in a critical state and applications
Yu, JS
Tang, XH
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2001, 63 : 188 - 204
[5] Fixed point theorems for multifunctions with applications to discontinuous operator and differential equations
Carl, S
Heikkilä, S
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 297 (01) : 56 - 69
[6] NONSMOOTH CRITICAL POINT THEOREMS AND ITS APPLICATIONS TO QUASILINEAR SCHRODINGER EQUATIONS
Li, Zhouxin
Shen, Yaotian
ACTA MATHEMATICA SCIENTIA, 2016, 36 (01) : 73 - 86
[7] Fixed-Point Theorems for Systems of Operator Equations and Their Applications to the Fractional Differential Equations
Zhang, Xinqiu
Liu, Lishan
Zou, Yumei
JOURNAL OF FUNCTION SPACES, 2018, 2018
[8] Fixed point theorems for fuzzy mappings and applications to ordinary fuzzy differential equations
Hemant Kumar Nashine
Calogero Vetro
Wiyada Kumam
Poom Kumam
Advances in Difference Equations, 2014
[9] Fixed Point Theorems: Exploring Applications in Fractional Differential Equations for Economic Growth
Abdou, Afrah Ahmad Noman
FRACTAL AND FRACTIONAL, 2024, 8 (04)
[10] Fixed point theorems in b-metric spaces with applications to differential equations
Huaping Huang
Guantie Deng
Stojan Radenović
Journal of Fixed Point Theory and Applications, 2018, 20

← 1 2 3 4 5 →