A Mountain Pass Lemma and its implications regarding the uniqueness of constrained minimizers
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Publication:3112507
DOI10.1080/02331934.2010.527973zbMath1245.49009OpenAlexW2002753043WikidataQ125061012 ScholiaQ125061012MaRDI QIDQ3112507
Publication date: 10 January 2012
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/02331934.2010.527973
Numerical methods based on nonlinear programming (49M37) Existence theories for problems in abstract spaces (49J27)
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Cites Work
- Metric regularity, tangent sets, and second-order optimality conditions
- Continuous selections. I
- A general mountain pass principle for locating and classifying critical points
- Extensions of the mountain pass theorem
- A mountain pass theorem
- Periodic solutions with prescribed minimal period for convex autonomous Hamiltonian systems
- On the existence and uniqueness of the maximum likelihood estimate of a vector-valued parameter in fixed-size samples
- Deformation properties for continuous functionals and critical point theory
- A critical point theory for nonsmooth functionals
- Inverse and implicit function theorems for nonsmooth maps in Banach spaces
- The structure of the critical set in the general mountain pass principle
- Mountain pass theorems and global homeomorphism theorems
- Dual variational methods in critical point theory and applications
- On differentiable functions with isolated critical points
- Functional topology and abstract variational theory
- Some mapping theorems
- Selected Selection Theorems
- A Geometric Description of the Neighbourhood of a Critical Point Given by the Mountain-Pass Theorem
- Ekeland's variational principle and the mountain pass lemma
- Clarke's tangent cones and the boundaries of closed sets in Rn
- Stability Theory for Systems of Inequalities. Part I: Linear Systems
- A Note on the Uniqueness of Roots of the Likelihood Equations for Vector-Valued Parameters
- Selected new aspects of the calculus of variations in the large
- On the Bartle-Graves theorem
- A generalized Morse theory
- Characterizations of metric projections in Banach spaces and applications
- On the uniqueness of the maximum likelihood estimator.