Nodal Solutions for a Class of Degenerate Boundary Value Problems

被引：0

作者：

Lopez-Gomez, J. ^{[1
]}

Rabinowitz, P. H. ^{[2
]}

机构：

[1] Univ Complutense Madrid, Dept Matemat Aplicada, E-28040 Madrid, Spain

[2] Univ Wisconsin, Dept Math, Madison, WI 53705 USA

来源：

ADVANCED NONLINEAR STUDIES | 2015年 / 15卷 / 02期

关键词：

degenerate nonlinearity; nodal solutions; global bifurcation diagrams; POSITIVE SOLUTIONS; EQUATIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the existence of nodal solutions for a class of boundary value problems that arise in population dynamics models. These problems are degenerate in the sense that the nonlinear term vanishes in a subinterval of the underlying region. In contrast to the non-degenerate case, in these degenerate situations the structure of the set of nodal solutions might consist of several components, making the analysis of this problem more complicated. This paper provides an initial step towards the solution of this general problem.

引用

页码：253 / 288

页数：36

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