An extension of the topological degree in Hilbert space

被引：6

作者：

Berkovits, J. ^{[1
]}

Fabry, C.

机构：

[1] Univ Oulu, Dept Math Sci, POB 3000, Oulu 90014, Finland

[2] Catholic Univ Louvain, Inst Math & Pure Appl, B-1348 Louvain, Belgium

来源：

ABSTRACT AND APPLIED ANALYSIS | 2005年 / 06期

关键词：

D O I：

10.1155/AAA.2005.581

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We define classes of mappings of monotone type with respect to a given direct sum decomposition of the underlying Hilbert space H. The new classes are extensions of classes of mappings of monotone type familiar in the study of partial differential equations, for example, the class (S+) and the class of pseudomonotone mappings. We then construct an extension of the Leray-Schauder degree for mappings involving the above classes. As shown by (semi-abstract) examples, this extension of the degree should be useful in the study of semilinear equations, when the linear part has an infinite-dimensional kernel.

引用

页码：581 / 597

页数：17