SIGN-CHANGING SOLUTIONS OF A FOURTH-ORDER ELLIPTIC EQUATION WITH SUPERCRITICAL EXPONENT

被引：0

作者：

Bouh, Kamal Ould ^{[1
]}

机构：

[1] Taibah Univ, Dept Math, Almadinah Almunawwarah, Saudi Arabia

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年

关键词：

Sign-changing solutions; critical exponent; bubble-tower solution; EXISTENCE; GROWTH;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we study the nonlinear elliptic problem involving nearly critical exponent [GRAPHICS] where is a smooth bounded domain in (sic)(n) with n >= 5, and epsilon is a positive parameter. We show that, for epsilon small, there is no sign-changing solution with low energy which blow up at exactly two points. Moreover, we prove that this problem has no bubble-tower sign-changing solutions.

引用

页数：13

共 50 条

[1] Sign-changing solutions for fourth-order elliptic equations of Kirchhoff type with critical exponent
Liang, Sihua
Zhang, Binlin
[J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2021, (37) : 1 - 23
[2] Sign-Changing Solutions for a Fourth-Order Elliptic Equation with Hardy Singular Terms
Pei, Ruichang
Zhang, Jihui
[J]. JOURNAL OF APPLIED MATHEMATICS, 2013,
[3] Multiplicity of weak solutions to a fourth-order elliptic equation with sign-changing weight function
Han, Yuzhu
Cao, Chunling
Li, Jiankang
[J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2020, 65 (09) : 1462 - 1473
[4] Sign-changing solutions for some fourth-order nonlinear elliptic problems
Zhou, Jianwen
Wu, Xian
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 342 (01) : 542 - 558
[5] INFINITELY MANY SOLUTIONS FOR FOURTH-ORDER ELLIPTIC EQUATIONS WITH SIGN-CHANGING POTENTIAL
Zhang, Wen
Tang, Xianhua
Zhang, Jian
[J]. TAIWANESE JOURNAL OF MATHEMATICS, 2014, 18 (02): : 645 - 659
[6] Existence of Multiple Sign-Changing Solutions for a Fourth-Order Elastic Beam Equation
Abderrazek Benhassine
Taib Talbi
[J]. Mediterranean Journal of Mathematics, 2023, 20
[7] Existence of Multiple Sign-Changing Solutions for a Fourth-Order Elastic Beam Equation
Benhassine, Abderrazek
Talbi, Taib
[J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2023, 20 (03)
[8] Sign-changing solutions for semilinear elliptic equation with variable exponent
Chu, Changmu
Liu, Xiangqing
Xie, Yanling
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 507 (01)
[9] Positive and sign-changing solutions for fourth-order BVPs with parameters
Liu X.-L.
Zhang G.
[J]. Journal of Applied Mathematics and Computing, 2009, 31 (1-2) : 177 - 192
[10] On sign-changing solution for a fourth-order asymptotically linear elliptic problem
Liu, Xiangqing
Huang, Yisheng
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (05) : 2271 - 2276

← 1 2 3 4 5 →