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

被引：7

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

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