TY  - BOOK
AU  - Antonio Ambrosetti
AU  - Giovanni Prodi
TI  - A primer of nonlinear analysis
T2  - Cambridge Studies in Advanced Mathematics
SN  - 9780521485739
AV  - QA321.5 
PY  - 1995///]
CY  - Cambridge, U.K.
PB  - Cambridge University Press
KW  - Mathematics
N1  - 1. Differential calculus
2. Local inversion theorems
3. Global inversion theorems
4. Semilinear Dirichlet problems
5. Bifurcation results
6. Bifurcation problems
7. Bifurcation of periodic solutions
N2  - This is an introduction to nonlinear functional analysis, in particular to those methods based on differential calculus in Banach spaces. It is in two parts; the first deals with the geometry of Banach spaces and includes a discussion of local and global inversion theorems for differentiable mappings. In the second part, the authors are more concerned with bifurcation theory, including the Hopf bifurcation. They include plenty of motivational and illustrative applications, which indeed provide much of the justification of nonlinear analysis. In particular, they discuss bifurcation problems arising from such areas as mechanics and fluid dynamics. The book is intended to accompany upper division courses for students of pure and applied mathematics and physics; exercises are consequently included. --- summary provided by publisher
ER  -