On the spectrum of a fourth order nonlinear eigenvalue problem with variable exponent and indefinite potential

被引：0

作者：

Zhou, Qing-Mei ^{[1
]}

Wang, Ke-Qi ^{[2
]}

机构：

[1] Northeast Forestry Univ, Harbin 150040, Peoples R China

[2] Northeast Forestry Univ, Coll Mech & Elect Engn, Harbin 150040, Peoples R China

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2016年 / 58期

基金：

中国国家自然科学基金;

关键词：

fourth order elliptic equation; eigenvalue problem; variable exponent; indefinite potential; FUNCTIONALS; EXISTENCE; EQUATION;

D O I：

10.14232/ejqtde.2016.1.58

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present paper deals with the spectrum of a fourth order nonlinear eigenvalue problem involving variable exponent conditions and a sign-changing potential. The main result of this paper establishes the existence of two positive constants lambda(0) and lambda(1) with lambda(0) <= lambda(1) such that every lambda is an element of [lambda(1), +infinity) is an eigenvalue, while lambda is an element of (-infinity, lambda(0)) cannot be an eigenvalue of the above problem.

引用

页数：14

共 50 条

[1] Continuous spectrum of a fourth order nonhomogeneous differential operators with variable exponent
Ge, Bin
Zhou, Qingmei
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2013, (18) : 1 - 11
[2] ON AN EIGENVALUE PROBLEM INVOLVING THE VARIABLE EXPONENT AND INDEFINITE WEIGHT
Zhou, Qing-Mei
Wang, Ke-Qi
Ge, Bin
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2019, 81 (04): : 119 - 124
[3] Unbounded spectrum for a nonlinear eigenvalue problem with a variable exponent
Liu, Zhenhai
Papageorgiou, Nikolaos S.
APPLIED MATHEMATICS LETTERS, 2023, 145
[4] Existence and Nonexistence Results for Weighted Fourth Order Eigenvalue Problems With Variable Exponent
Ayoujil, Abdesslem
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2019, 37 (03): : 55 - 66
[5] Existence of solutions for a fourth order eigenvalue problem with variable exponent under Neumann boundary conditions
Ben Haddouch, K.
El Allali, Z.
Tsouli, N.
El Habib, S.
Kissi, F.
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2016, 34 (01): : 253 - 272
[6] On the spectrum of a fourth order elliptic equation with variable exponent
Ayoujil, A.
El Amrouss, A. R.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (10) : 4916 - 4926
[7] AN EIGENVALUE PROBLEM FOR A VARIABLE EXPONENT PROBLEM, VIA TOPOLOGICAL DEGREE
Manasevich, Raul
Tanaka, Satoshi
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2024, 44 (04) : 970 - 982
[8] CONTINUOUS SPECTRUM OF A FOURTH ORDER NONHOMOGENEOUS ELLIPTIC EQUATION WITH VARIABLE EXPONENT
Ayoujil, Abdesslem
El Amrouss, Abdel Rachid
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2011,
[9] On linear and nonlinear fourth-order eigenvalue problems with indefinite weight
Ma, Ruyun
Gao, Chenghua
Han, Xiaoling
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (18) : 6965 - 6969
[10] On a fourth-order Neumann problem in variable exponent spaces
Zuo, Jiabin
El Allali, Zakaria
Taarabti, Said
Repovs, Dusan
FILOMAT, 2023, 37 (07) : 2027 - 2039

← 1 2 3 4 5 →