EXISTENCE OF A SOLUTION FOR A NON-LOCAL PROBLEM IN RN VIA BIFURCATION THEORY

被引：5

作者：

Alves, Claudianor O. ^{[1
]}

de Lima, Romildo N. ^{[1
]}

Souto, Marco A. S. ^{[1
]}

机构：

[1] Univ Fed Campina Grande, Unidade Acad Matemat, BR-58429900 Campina Grande, PB, Brazil

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2018年 / 61卷 / 03期

关键词：

non-local logistic equations; a priori bounds; positive solutions; EQUATION;

D O I：

10.1017/S001309151700030X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the existence of a solution for the following class of non-local problems: (Graphic) where N >= 3, lambda > 0, gamma is an element of (1, 2), f : R - R is a positive continuous function and K : R-N x R-N -> R is a non-negative function. The functions f and K satisfy some conditions that permit us to use bifurcation theory to prove tlie existence of a solution for (P).

引用

页码：825 / 845

页数：21

共 15 条

[1] Existence of positive solution of a nonlocal logistic population model
Alves, Claudianor O.
Delgado, Manuel
Souto, Marco A. S.
Suarez, Antonio
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2015, 66 (03): : 943 - 953
[2] [Anonymous], 2010, FUNCTIONAL ANAL
[3] [Anonymous], 2015, Elliptic Partial Differential Equations of Second Order. Classics in Mathematics
[4] [Anonymous], [No title captured]
[5] SUBLINEAR ELLIPTIC-EQUATIONS IN RN
BREZIS, H
KAMIN, S
[J]. MANUSCRIPTA MATHEMATICA, 1992, 74 (01) : 87 - 106
[6] On the Schrodinger equation involving a critical Sobolev exponent and magnetic field
Chabrowski, J
Szulkin, A
[J]. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2005, 25 (01) : 3 - 21
[7] Stability and Hopf bifurcation in a diffusive logistic population model with nonlocal delay effect
Chen, Shanshan
Shi, Junping
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 253 (12) : 3440 - 3470
[8] Chipot M., 2006, Recent Advances on Elliptic and Parabolic Issues, P79
[9] Corrêa FJSA, 2011, ADV DIFFERENTIAL EQU, V16, P623
[10] Coville J., 2013, ARXIV1308647

← 1 2 →