Results 261 to 270 of about 390,400 (307)
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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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Phenomenological theory near critical points
Physics Letters A, 1968Abstract Information in the order-parameter correlation function is used to construct a phenomenological theory which agrees with the known critical exponents, includes the effects of large fluctuations, and is valid right up to the critical points.
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Topics in Critical Point Theory
2012This book introduces the reader to powerful methods of critical point theory and details successful contemporary approaches to many problems, some of which had proved resistant to attack by older methods. Topics covered include Morse theory, critical groups, the minimax principle, various notions of linking, jumping nonlinearities and the Fučík ...
Kanishka Perera, Martin Schechter
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Critical Points and Morse Theory
1997In this chapter we introduce Morse theory, a systematic way of studying certain features of smooth functions on manifolds. We will primarily consider surfaces and three-manifolds, because the main applications of Morse theory in computer geometry are concentrated in these dimensions.
Anatolij T. Fomenko, Tosiyasu L. Kinii
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Critical point theory and global lorentzian geometry
Nonlinear Analysis: Theory, Methods & Applications, 1997The article is a survey of recent results in global Lorentzian geometry obtained by the calculus of variations in the large and critical point theory. In particular, the author considers the problem of the geodesical connectedness for some classes of Lorentzian manifolds.
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Variational Principles and Critical Point Theory
2013This chapter addresses variational principles and critical point theory that will be applied later in the book for setting up variational methods in the case of nonlinear elliptic boundary value problems. The first section of the chapter illustrates the connection between the variational principles of Ekeland and Zhong and compactness-type conditions ...
Dumitru Motreanu +2 more
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Nonsmooth critical point theory and applications
Nonlinear Analysis: Theory, Methods & Applications, 1997The author surveys recent developments in critical point theory for (not necessarily continuous) functions \(f \colon X \to \overline{\mathbb{R}}\) where \(X\) is a metric space. First he discusses the weak slope \(| df| (u) \in [0,\infty)\) which is defined if \(f(u) \in \mathbb{R}\). This concept is well suited for critical point theory provided that
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The Classical Theory of Critical Points
1994The various methods available for expressing the criteria for a critical point are developed and their equivalence is demonstrated. Some are shown to be more convenient for use than others, especially when dealing with multi-component mixtures. The equations most often used in calculating the critical points in pure fluids or in binary mixtures ...
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