POSITIVE SOLUTIONS OF NONLINEAR ROBIN EIGENVALUE PROBLEMS

被引：7

作者：

Papageorgiou, Nikolaos S. ^{[1
]}

Radulescu, Vicentiu D. ^{[2
,3
]}

机构：

[1] Natl Tech Univ Athens, Dept Math, Zografou Campus, Athens 15780, Greece

[2] King Abdulaziz Univ, Fac Sci, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

[3] Romanian Acad, Inst Math Simion Stoilow, POB 1-764, Bucharest 014700, Romania

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2016年 / 144卷 / 11期

关键词：

Superdiffusive reaction; bifurcation type theorem; extremal positive solutions; p-Laplacian; nonlinear regularity; ELLIPTIC-EQUATIONS; BIFURCATION;

D O I：

10.1090/proc/13107

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a nonlinear eigenvalue problem driven by the p-Laplacian with Robin boundary condition. Using variational methods and truncation techniques, we prove a bifurcation-type result describing the set of positive solutions as the positive parameter. varies. We also produce extremal positive solutions and study their properties.

引用

页码：4913 / 4928

页数：16

共 50 条

[41] Positive solutions for systems of nonlinear eigenvalue problems for functional differential equations
Henderson, J.
Ntouyas, S. K.
APPLICABLE ANALYSIS, 2007, 86 (11) : 1365 - 1374
[42] BIFURCATION TYPE PHENOMENA FOR POSITIVE SOLUTIONS OF NONLINEAR NEUMANN EIGENVALUE PROBLEMS
Papageorgiou, Evgenia H.
DIFFERENTIAL EQUATIONS & APPLICATIONS, 2014, 6 (03): : 335 - 351
[43] Multiple positive solutions for nonlinear eigenvalue problems with the p-Laplacian
Hu, Shouchuan
Papageorgiou, Nikolas S.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (12) : 4286 - 4300
[44] Positive Solutions of Nonlinear Eigenvalue Problems for a Nonlocal Fractional Differential Equation
Han, Xiaoling
Gao, Hongliang
MATHEMATICAL PROBLEMS IN ENGINEERING, 2011, 2011
[45] Eigenvalue criteria for existence of positive solutions to nonlinear boundary value problems
Erbe, L
MATHEMATICAL AND COMPUTER MODELLING, 2000, 32 (5-6) : 529 - 539
[46] Positive periodic solutions and nonlinear eigenvalue problems for functional differential equations
Zhang, Xuemei
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2012, (25) : 1 - 15
[47] Positive solutions for nonvariational Robin problems
Papageorgiou, Nikolaos S.
Radulescu, Vicentiu D.
Repovs, Dusan D.
ASYMPTOTIC ANALYSIS, 2018, 108 (04) : 243 - 255
[48] Positive solutions to a nonlinear eigenvalue problem
Zhou, Yong-Hui
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2020, 21 (01): : 18 - 22
[49] BIFURCATION OF POSITIVE SOLUTIONS FOR NONLINEAR NONHOMOGENEOUS ROBIN AND NEUMANN PROBLEMS WITH COMPETING NONLINEARITIES
Papageorgiou, Nikolaos S.
Radulescu, Vicentiu D.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2015, 35 (10) : 5003 - 5036
[50] Existence and multiplicity of positive solutions for parametric nonlinear nonhomogeneous singular Robin problems
S. Leonardi
Nikolaos S. Papageorgiou
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2020, 114

← 1 2 3 4 5 →