Nirenberg, Louis Topics in nonlinear functional analysis. (Lektsii po nelinejnomu funktsional’nomu analizu). Transl. from the English by N. D. Vvedenskaya. (Russian) Zbl 0426.47034 Matematika. Novoe v Zarubezhnoj Nauke. 5. Moskva: Izdatel’stvo ”Mir”. 232 p. R. 0.96 (1977). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 26 Documents MSC: 47-02 Research exposition (monographs, survey articles) pertaining to operator theory 47H05 Monotone operators and generalizations 47H10 Fixed-point theorems 47J05 Equations involving nonlinear operators (general) 26B10 Implicit function theorems, Jacobians, transformations with several variables 26E15 Calculus of functions on infinite-dimensional spaces 35A10 Cauchy-Kovalevskaya theorems 35G20 Nonlinear higher-order PDEs 58C30 Fixed-point theorems on manifolds 58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces 58E07 Variational problems in abstract bifurcation theory in infinite-dimensional spaces 55M20 Fixed points and coincidences in algebraic topology 54H25 Fixed-point and coincidence theorems (topological aspects) Keywords:nonlinear functional analysis Citations:Zbl 0286.47037 PDF BibTeX XML OpenURL