Nonlinearity and functional analysis. Lectures on nonlinear problems in mathematical analysis. (English) Zbl 0368.47001


47-02 Research exposition (monographs, survey articles) pertaining to operator theory
47J05 Equations involving nonlinear operators (general)
34G99 Differential equations in abstract spaces
58A10 Differential forms in global analysis
58B05 Homotopy and topological questions for infinite-dimensional manifolds
58Exx Variational problems in infinite-dimensional spaces
55M25 Degree, winding number
49Qxx Manifolds and measure-geometric topics
35J60 Nonlinear elliptic equations
34C25 Periodic solutions to ordinary differential equations
49S05 Variational principles of physics