零点不可导时锥映射的歧点与正特征元的全局结构  

BIFURCATION POINTS AND GLOBAL STRUCTURE OF POSITIVE EIGENVALUES FOR CONE MAPPINGS WITH NO DIFFERENTIABILITY AT THE ZERO POINT

作　　者：刘笑颖[1] 孙经先[1] 

机构地区：[1]徐州师范大学数学科学学院,江苏221116

出　　处：《系统科学与数学》2010年第8期1111-1118,共8页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(10971179)资助课题

摘　　要：研究了半序Banach空间中一类非线性锥映射歧点的存在性与正特征元的全局结构.与已知文献不同的是,不要求算子在零点沿着锥Frechet可微.作为应用,讨论了一类椭圆型偏微分方程边值问题正解的歧点与全局结构.This paper is concerned with the existence of bifurcation points and global structure of positive eigenvalues for the nonlinear cone mappings in the ordered Banach spaces. The difference from the existing results is that the operators are not assumed to be Frechet differentiable at the zero point along the cone. As an application, the existence of at least one bifurcation point and global structure of positive solutions for the boundary value problems of nonlinear elliptic partial differential equations are discussed.

关 键 词：锥映射 FRECHET可微 歧点 全局结构. 

分 类 号：O177.2[理学—数学]