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

[41] Numerical Solution of a Fully Fourth Order Nonlinear Problem
Dang Quang, A.
Ngo Thi Kim Quy
ADVANCES IN INFORMATION AND COMMUNICATION TECHNOLOGY, 2017, 538 : 413 - 420
[42] The solvability of indefinite nonlinear Choquard type problem with steep potential
Sang, Yanbin
Che, Yinfang
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2025, 546 (02)
[43] Multiple solutions for a fourth-order elliptic equation of Kirchhoff type with variable exponent
Nguyen Thanh Chung
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2020, 13 (05)
[44] On Linear and Nonlinear Fourth-Order Eigenvalue Problems with Nonlocal Boundary Condition
Yan, Dongming
JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2013,
[45] FD-method for an eigenvalue problem with nonlinear potential
Havrylyuk I.P.
Klymenko A.V.
Makarov V.L.
Rossokhata N.O.
Ukrainian Mathematical Journal, 2007, 59 (1) : 12 - 27
[46] Spectral Properties of a Fourth Order Eigenvalue Problem with Spectral Parameter in the Boundary Conditions
Aliyev, Ziyatkhan S.
Guliyeva, Sevinc B.
FILOMAT, 2018, 32 (07) : 2421 - 2431
[47] CAUCHY PROBLEM FOR HYPERBOLIC EQUATIONS OF THIRD ORDER WITH VARIABLE EXPONENT OF NONLINEARITY
Buhrii, O. M.
Kholyavka, O. T.
Pukach, P. Ya.
Vovk, M. I.
CARPATHIAN MATHEMATICAL PUBLICATIONS, 2020, 12 (02) : 419 - 433
[48] Nonlinear Eigenvalue Problem for Second-Order Hamiltonian Systems
Abramov, A. A.
Ul'yanova, V. I.
Yukhno, L. F.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2008, 48 (06) : 942 - 945
[49] Nonlinear eigenvalue problem for second-order Hamiltonian systems
A. A. Abramov
V. I. Ul’yanova
L. F. Yukhno
Computational Mathematics and Mathematical Physics, 2008, 48 : 942 - 945
[50] AN EIGENVALUE PROBLEM FOR NONLINEAR SCHRODINGER-POISSON SYSTEM WITH STEEP POTENTIAL WELL
Wang, Kuan-Hsiang
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021, 20 (04) : 1497 - 1519

← 1 2 3 4 5 →