Conditional extremals in complete Riemannian manifolds
DOI10.1016/j.na.2011.10.018zbMath1257.58006OpenAlexW2075874367WikidataQ115343024 ScholiaQ115343024MaRDI QIDQ412682
Publication date: 4 May 2012
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2011.10.018
optimal controlPalais-Smale conditionMorse indexglobal analysisinterpolation on manifoldsLjusternik-Schnirelman category
Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Global stability of solutions to ordinary differential equations (34D23) Optimality conditions for free problems in one independent variable (49K05)
Related Items (2)
Cites Work
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- Conditional extremals
- Curve-straightening in Riemannian manifolds
- Critical points of convex perturbations of some indefinite quadratic forms and semilinear boundary value problems at resonance
- Critical point theory and submanifold geometry
- The Morse index theorem in Hilbert space
- Condition (C) for the energy integral on certain path spaces and applications to the theory of geodesics
- Lusternik-Schnirelman theory on Banach manifolds
- Geometry of manifolds of maps
- A Note on the Category of the Free Loop Space
- Morse Theory. (AM-51)
- Category of loop spaces of open subsets in euclidean space
- An analytical theory for Riemannian cubic polynomials
- Condition $\left( {\text{C}} \right)$ and geodesics on Sobolev manifolds
- A generalized Morse theory
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