It takes the average reader 2 hours and 27 minutes to read Orientation and the Leray-Schauder Theory for Fully Nonlinear Elliptic Boundary Value Problems by Patrick Fitzpatrick
Assuming a reading speed of 250 words per minute. Learn more
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.
Orientation and the Leray-Schauder Theory for Fully Nonlinear Elliptic Boundary Value Problems by Patrick Fitzpatrick is 145 pages long, and a total of 36,975 words.
This makes it 49% the length of the average book. It also has 45% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 3 hours and 22 minutes to read Orientation and the Leray-Schauder Theory for Fully Nonlinear Elliptic Boundary Value Problems aloud.
Orientation and the Leray-Schauder Theory for Fully Nonlinear Elliptic Boundary Value Problems is suitable for students ages 10 and up.
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