Existence and nonexistence of patterns on Riemannian manifolds

被引：25

作者：

Bandle, Catherine ^{[2
]}

Punzo, Fabio ^{[1
]}

Tesei, Alberto ^{[1
]}

机构：

[1] Univ Roma La Sapienza, Dipartimento Matemat G Castelnuovo, I-00185 Rome, Italy

[2] Univ Basel, Math Inst, CH-4051 Basel, Switzerland

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 387卷 / 01期

关键词：

Semilinear parabolic problem; Stable solutions; Eigenvalue problem; Ricci curvature; Surfaces of revolutions; REACTION-DIFFUSION EQUATIONS;

D O I：

10.1016/j.jmaa.2011.08.060

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study existence and nonexistence of patterns on Riemannian manifolds, depending on the Ricci curvature of the manifold and suitable assumptions on the boundary. In the case of surfaces of revolutions in R(3), necessary and sufficient conditions for existence of patterns are given. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：33 / 47

页数：15

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