Orientation and the Leray Schauder Theory for Fully Nonlinear Elliptic Boundary Value Problems is popular PDF and ePub book, written by Patrick Fitzpatrick in 2014-08-31, it is a fantastic choice for those who relish reading online the MATHEMATICS genre. Let's immerse ourselves in this engaging MATHEMATICS book by exploring the summary and details provided below. Remember, Orientation and the Leray Schauder Theory for Fully Nonlinear Elliptic Boundary Value Problems can be Read Online from any device for your convenience.
Orientation and the Leray Schauder Theory for Fully Nonlinear Elliptic Boundary Value Problems Book PDF Summary
The aim of this work is to develop an additive, integer-valued degree theory for the class of quasilinear Fredholm mappings. This class is sufficiently large that, within its framework, one can study general fully nonlinear elliptic boundary value problems. A degree for the whole class of quasilinear Fredholm mappings must necessarily accommodate sign-switching of the degree along admissible homotopies. The authors introduce parity, a homotopy invariant of paths of linear Fredholm operators having invertible endpoints. The parity provides a complete description of the possible changes in sign of the degree and thereby permits use of the degree to prove multiplicity and bifurcation theorems for quasilinear Fredholm mappings. Applications are given to the study of fully nonlinear elliptic boundary value problems.
Detail Book of Orientation and the Leray Schauder Theory for Fully Nonlinear Elliptic Boundary Value Problems PDF
- Author : Patrick Fitzpatrick
- Release : 31 August 2014
- Publisher : American Mathematical Society(RI)
- ISBN : 147040060X
- Genre : MATHEMATICS
- Total Page : 145 pages
- Language : English
- PDF File Size : 13,5 Mb
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