Generalized implicit function theorems with applications to some small divisor problems, I

The inverse function theorem of Nash and Moser

Richard S. Hamilton · Bulletin of the American Mathematical Society · 1982 · 1.2K citations · Full text

Social Sciences, Mathematics, Game Theory +9

SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS

Vladimir I. Arnold · Russian Mathematical Surveys · 1963 · 1.1K citations

Natural Sciences, Mathematics, Physics +17

The Imbedding Problem for Riemannian Manifolds

John C. Nash · Annals of Mathematics · 1956 · 995 citations

Natural Sciences, Computer Science, Topology +10

PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN

Vladimir I. Arnold · Russian Mathematical Surveys · 1963 · 939 citations

Natural Sciences, Mathematics, Physics +13

Convergent series expansions for quasi-periodic motions

J�rgen Moser · Mathematische Annalen · 1967 · 586 citations

Natural Sciences, Mathematics, Physics +13