Radial positive solutions of nonlinear elliptic systems with Neumann boundary conditions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:434

Article

Ma, Ruyun¹  Gao, Hongliang¹  Lu, Yanqiong¹ 

[1] NE Normal Univ, Dept Math, Lanzhou 730070, Peoples R China

关键词: Elliptic system;    Neumann problems;    Positive increasing radial solutions;    Bifurcation;   

DOI  :  10.1016/j.jmaa.2015.09.065

来源: Elsevier

【 摘 要 】

We consider radial positive solutions of elliptic systems of the form {-Delta u + u = alpha(vertical bar x vertical bar) f(u, v) in B-R, -Delta v + v = beta(vertical bar x vertical bar) g(u, v) in B-R, partial derivative(v)u = partial derivative(v)u = 0 on partial derivative B-R, where essentially alpha, beta are assumed to be radially nondecreasing weights and f, g are nondecreasing in each component. We show the existence of at least one nondecreasing nontrivial radial solutions. Our result is sharp and is a complement for one of the main results in Bonheure et al. (2013) [2]. The proof of our main result is based upon bifurcation techniques. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

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