Results 211 to 220 of about 419,462 (262)
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Subdifferential Calculus and Nonsmooth Critical Point Theory
SIAM Journal on Optimization, 2000Summary: A general critical point theory for continuous functions defined on metric spaces has been recently developed. A new subdifferential, related to that theory, is introduced. In particular, results on the subdifferential of a sum are proved. An example of application to PDEs is sketched.
Marco Degiovanni
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Advanced critical point theory
Lecture Notes in Mathematics, 1988Richard S Palais +2 more
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SIAM Journal on Optimization, 2009
We study mathematical programs with complementarity constraints (MPCC) from a topological point of view. Special focus will be on C-stationary points. Under the linear independence constraint qualification (LICQ) we derive an equivariant Morse lemma at nondegenerate C-stationary points.
Hubertus Th. Jongen +2 more
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We study mathematical programs with complementarity constraints (MPCC) from a topological point of view. Special focus will be on C-stationary points. Under the linear independence constraint qualification (LICQ) we derive an equivariant Morse lemma at nondegenerate C-stationary points.
Hubertus Th. Jongen +2 more
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Critical points with discrete Morse theory
ACM SIGGRAPH 2015 Posters, 2015In this work, we present some of the unexpected observations resulted from our recent research. We, recently, needed to identify a small number of important critical points, i.e. minimum, maximum and saddle points, on a given manifold mesh surface. All critical points on a manifold triangular mesh can be identified using discrete Gaussian curvature ...
Peihong Guo +4 more
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Disjunctive Optimization: Critical Point Theory
Journal of Optimization Theory and Applications, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jongen, H. T. +2 more
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2019
Critical point theory deals with variational problems and so it can be argued that it is as old as calculus. Nevertheless, in its modern form, critical point theory has its roots in the so-called “Dirichlet principle”.
Nikolaos S. Papageorgiou +2 more
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Critical point theory deals with variational problems and so it can be argued that it is as old as calculus. Nevertheless, in its modern form, critical point theory has its roots in the so-called “Dirichlet principle”.
Nikolaos S. Papageorgiou +2 more
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1993
In the study of nonminimum critical points, a basic method is the so-called minimax principle. In this chapter we study the connections between Morse theory and a variety of concrete versions of the minimax principle. We point out that the minimax principle for relative homology classes is particularly suitable for Morse theory because certain critical
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In the study of nonminimum critical points, a basic method is the so-called minimax principle. In this chapter we study the connections between Morse theory and a variety of concrete versions of the minimax principle. We point out that the minimax principle for relative homology classes is particularly suitable for Morse theory because certain critical
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The Minimax Approach to the Critical Point Theory
1995Note for the reader. Looking at the many applications of the Ekeland Variational Principle, some 2 years ago we met the Mountain Pass Theorem of Ambrosetti—Rabinowitz. This stimulated us to know more about Critical Point Theory, and to better understand the fascinating interplay between the topological and differential ideas of the minimax approach.
CONTI, MONICA, LUCCHETTI, ROBERTO
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Theory of the Critical Point of 4He
1990We do not have yet a microscopic global theory of the thermodynamic properties of 4He in the normal phase, inclusive of the region of the critical point. At a very simple level the effect of the attractive part of the interatomic forces has been considered1 in a perturbative way starting from the properties of quantum hard spheres.
A. Meroni, L. Reatto, K. J. Runge
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1999
Many nonlinear problems can be reduced to the form Many nonlinear problems can be reduced to the form $$G'(u) = 0,$$ (1.1.1) where G is a C1-functional on a Banach space E. In this case the problems can be attacked by specialized, important techniques which can produce results where other methods fail.
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Many nonlinear problems can be reduced to the form Many nonlinear problems can be reduced to the form $$G'(u) = 0,$$ (1.1.1) where G is a C1-functional on a Banach space E. In this case the problems can be attacked by specialized, important techniques which can produce results where other methods fail.
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