Abstract
We study the covering dimension and the index of the solution set to multiparameter nonlinear and semilinear operator equations involving Fredholm maps of positive index. The classes of maps under consideration are (pseudo) ^-proper and either approximation-essential or equivariant approximation- essential. Applications are given to semilinear elliptic BVP's.
Original language | English (US) |
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Pages (from-to) | 835-856 |
Number of pages | 22 |
Journal | Transactions of the American Mathematical Society |
Volume | 347 |
Issue number | 3 |
DOIs | |
State | Published - Mar 1995 |
All Science Journal Classification (ASJC) codes
- General Mathematics
- Applied Mathematics
Keywords
- (pseudo) A-proper maps
- Approximation-essential maps
- Covering dimension
- Elliptic BVP’s
- Equivariant maps
- Index
- Multiparameter continuation problems