Existence of Solutions for Semilinear Nonlocal Elliptic Problems via a Bolzano Theorem

被引：19

作者：

Arcoya, David ^{[1
]}

Leonori, Tommaso ^{[2
]}

Primo, Ana ^{[3
]}

机构：

[1] Univ Granada, Fac Ciencias, Dept Anal Matemat, E-18071 Granada, Spain

[2] Univ Carlos III, Dept Matemat, Madrid 28911, Spain

[3] ICMAT, Inst Ciencias Matemat, Madrid 28049, Spain

来源：

ACTA APPLICANDAE MATHEMATICAE | 2013年 / 127卷 / 01期

关键词：

Semilinear elliptic equations; Nonlocal equations; Bifurcation methods; POSITIVE SOLUTIONS;

D O I：

10.1007/s10440-012-9792-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we deal with the existence of positive solutions for the following nonlocal type of problems {-Delta u = sigma/(integral Omega g(u) dx)(p) f(u) in Omega, u>0 in Omega, u=0 in partial derivative Omega, where Omega is a bounded smooth domain in R-N (N >= 1), f, g are continuous positive functions, sigma > 0 and p is an element of R. We give sufficient conditions on the functions f and g in order to have existence of positive solutions.

引用

页码：87 / 104

页数：18

共 21 条

[1]

Alves CO, 2003, FUNCTION SPACES, DIFFERENTIAL OPERATORS AND NONLINEAR ANALYSIS: THE HANS TRIEBEL ANNIVERSARY VOLUME, P47

[2] FIXED-POINT EQUATIONS AND NONLINEAR EIGENVALUE PROBLEMS IN ORDERED BANACH-SPACES [J].