Global inversion via the Palais-Smale condition

DOI10.3934/dcds.2002.8.17zbMath1008.58009OpenAlexW2085277630MaRDI QIDQ1347781

Scott Nollet, Frederico Xavier

Publication date: 25 March 2003

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/f53f7d77c94b5f769db5d2050399d645915a877f

zbMATH Keywords

Palais-Smale conditionlocal diffeomorphismLojasiewicz exponentjacobian conjecture

Mathematics Subject Classification ID

Jacobian problem (14R15) Implicit function theorems; global Newton methods on manifolds (58C15)

Related Items (15)

On the construction of global coordinate systems in Euclidean spaces ⋮ Foliations and global injectivity in \(\mathbb R^{n }\) ⋮ Global homeomorphisms and covering projections on metric spaces ⋮ Geometry and global stability of 2D periodic monotone maps ⋮ Dynamics, points and places at infinity, and the inversion of polynomial self-maps of \(\mathbb{R}^2\) ⋮ Non-positive curvature and global invertibility of maps ⋮ New inverse and implicit function theorems for differentiable maps with isolated critical points ⋮ An eigenvalue condition for the injectivity and asymptotic stability at infinity ⋮ On differentiable area-preserving maps of the plane ⋮ A generalization of the Fujisawa-Kuh global inversion theorem ⋮ On local diffeomorphisms of \(\mathbb{R}^n\) that are injective ⋮ Global inversion and covering maps on length spaces ⋮ Foliations and polynomial diffeomorphisms of \(\mathbb R^3\) ⋮ On global invertibility of semi-algebraic local diffeomorphisms ⋮ A counterexample to a conjecture of Nollet and Xavier

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