The uniqueness of some singular Kirchhoff equations with non-homogeneous material

被引：0

作者：

Yan, Baoqiang ^{[1
]}

O'Regan, Donal ^{[2
]}

Agarwal, Ravi P. ^{[3
]}

机构：

[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R China

[2] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland

[3] Texas A&M Univ, Dept Math, Kingsville, TX 78363 USA

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2023年 / 56卷 / 2期

基金：

中国国家自然科学基金;

关键词：

Method of sub-supersolutions; Existence; Positive solutions; Kirchhoff equations; EXISTENCE;

D O I：

10.1007/s13226-023-00516-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, on the one hand, we prove a new theorem of sub-supersolution method for a generalized Kirchhoff equations with non-homogeneous material; on the other hand, based on the method of lower and upper solution, we consider the existence and uniqueness of the positive solution of some singular Kirchhoff equations.

引用

页码：768 / 777

页数：10

共 16 条

[1] Existence of solution for a class of nonlocal elliptic problem via sub-supersolution method
Alves, Claudianor O.
Covei, Dragos-Patru
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2015, 23 : 1 - 8
[2] Existence and localization of solution for second order elliptic BVP in presence of lower and upper solutions without any order
De Coster, C
Henrard, M
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1998, 145 (02) : 420 - 452
[3] Some remarks on the comparison principle in Kirchhoff equations
Figueiredo, Giovany M.
Suarez, Antonio
[J]. REVISTA MATEMATICA IBEROAMERICANA, 2018, 34 (02) : 609 - 620
[4] Study of a nonlinear Kirchhoff equation with non-homogeneous material
Figueiredo, Giovany M.
Morales-Rodrigo, Cristian
Santos Junior, Joao R.
Suarez, Antonio
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 416 (02) : 597 - 608
[5] SOME COUNTEREXAMPLES RELATED TO THE STATIONARY KIRCHHOFF EQUATION
Garcia-Melian, Jorge
Iturriaga, Leonelo
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 144 (08) : 3405 - 3411
[6] ON A SINGULAR NONLINEAR ELLIPTIC PROBLEM
GOMES, SM
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1986, 17 (06) : 1359 - 1369
[7] Granas A., 2003, FIXED POINT THEORY, DOI [10.1007/978-0-387-21593-8, DOI 10.1007/978-0-387-21593-8]
[8] ON A SINGULAR NONLINEAR ELLIPTIC BOUNDARY-VALUE PROBLEM
LAZER, AC
MCKENNA, PJ
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 111 (03) : 721 - 730
[9] Vibrations of elastic string with nonhomogeneous material
Limaco, J.
Clark, H. R.
Medeiros, L. A.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 344 (02) : 806 - 820
[10] Lions JL., 1978, Contemporary Developments of Continuum Mechanics and Partial Differential Equations, P285

← 1 2 →