Some superlinear problems with nonlocal diffusion coefficient

被引：3

作者：

Figueiredo-Sousa, Tarcyana S. ^{[1
]}

Morales-Rodrigo, Cristian ^{[1
]}

Suarez, Antonio ^{[1
]}

机构：

[1] Univ Seville, Dept Ecuac Diferenciales & Anal Numer, Apdo Correos 1160, E-41080 Seville, Spain

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 482卷 / 01期

关键词：

Non-local diffusion coefficient; Superlinear problem; Bifurcation method; POSITIVE SOLUTIONS; UNIQUENESS;

D O I：

10.1016/j.jmaa.2019.123519

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a superlinear elliptic problem with a non-local diffusion coefficient. We show that there exists a drastic change on the structure of the set of positive solutions when the non-local coefficient grows fast enough to infinity. We combine mainly sub-super and bifurcation methods to obtain our results. (C) 2019 Elsevier Inc. All rights reserved.

引用

页数：25

共 50 条

[41] On the existence of positive solutions for some indefinite superlinear elliptic problems
LopezGomez, J
[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1997, 22 (11-12) : 1787 - 1804
[42] The influence of a metasolution on the behaviour of the logistic equation with nonlocal diffusion coefficient
Figueiredo-Sousa, Tarcyana S.
Rodrigo-Morales, Cristian
Suarez, Antonio
[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2018, 57 (04)
[43] The influence of a metasolution on the behaviour of the logistic equation with nonlocal diffusion coefficient
Tarcyana S. Figueiredo-Sousa
Cristian Rodrigo-Morales
Antonio Suárez
[J]. Calculus of Variations and Partial Differential Equations, 2018, 57
[44] SOME DIFFUSION PROBLEMS
FOGELSON, RL
[J]. PHYSICS OF METALS AND METALLOGRAPHY-USSR, 1968, 25 (03): : 214 - &
[45] Solution to classes of inverse coefficient problems and problems with nonlocal conditions for parabolic equations
Aida-zade, K. R.
Rahimov, A. B.
[J]. DIFFERENTIAL EQUATIONS, 2015, 51 (01) : 83 - 93
[46] Solution to classes of inverse coefficient problems and problems with nonlocal conditions for parabolic equations
K. R. Aida-zade
A. B. Rahimov
[J]. Differential Equations, 2015, 51 : 83 - 93
[47] THE DIRICHLET PROBLEM FOR SOME NONLOCAL DIFFUSION EQUATIONS
Chasseigne, Emmanuel
[J]. DIFFERENTIAL AND INTEGRAL EQUATIONS, 2007, 20 (12) : 1389 - 1404
[48] Interface problems in nonlocal diffusion and sharp transitions between local and nonlocal domains
Seleson, Pablo
Gunzburger, Max
Parks, Michael L.
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2013, 266 : 185 - 204
[49] Superlinear dirichlet problems
Orpel, A
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 56 (06) : 937 - 950
[50] ASYMPTOTIC BEHAVIOR OF SOME NONLOCAL PARABOLIC PROBLEMS
Siegwart, Martin
[J]. ADVANCES IN DIFFERENTIAL EQUATIONS, 2006, 11 (02) : 167 - 199

← 1 2 3 4 5 →