Non-degeneracy of extremal points in multi-dimensional space

DOI10.1007/s11425-015-5057-6zbMath1344.37022OpenAlexW2259238232MaRDI QIDQ904638

Min Zhou, Chong-Qing Cheng

Publication date: 13 January 2016

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-015-5057-6

zbMATH Keywords

non-degeneracysmooth functionsmulti-dimensional spaceminimal and maximal points

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Critical points of functions and mappings on manifolds (58K05)

Related Items

Lasry-Lions, Lax-Oleinik and generalized characteristics, Arnold diffusion for nearly integrable Hamiltonian systems, Variational approach to Arnold diffusion

Cites Work

• Generic properties of Lagrangians on surfaces: the Kupka-Smale theorem
• Non-degeneracy of extremal points
• Generic hyperbolicity of aubry sets on surfaces
• Generic properties and problems of minimizing measures of Lagrangian systems
• Hyperbolic minimizing geodesics