Results 241 to 250 of about 3,726,336 (290)
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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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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.
Campa, Ines, Degiovanni, Marco
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Comprehensive theory of simple fluids, critical point included
Physical Review Letters, 1989We present a comprehensive theory of fluids which has the typical accuracy of a good liquid-state theory in the dense regime but in addition has a genuine nonclassical critical behavior. The theory is based on the hierarchical reference theory of fluids decoupled with an approximation inspired by the optimized random-phase approximation.
PAROLA, ALBERTO +2 more
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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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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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