TOPICS IN NONLINEAR FUNCTIONALANALYSIS AND APPLICATIONS TO DIFFERENTIAL
EQUATIONS
Elementary calculus in Benach spaces, Implicit and Inverse Function Theorems, Degree theory, Leray-Schauder Degree, Schauder fixed point theorem, Bifurcation theory, Applications to ODE and PDE. Book
- L. Nirenberg, Topics in Nonlinear Functional Analysis, Courant Inst. of Math Sci., Lecture Notes.
- M. Berger, Nonlinearity and Functional Analysis, Academic Press.
- Ambrosetti and G. Prodi, Primer of Nonlinear Analysis, Cambridge Press.