Results 301 to 310 of about 3,581,339 (338)

The critical point and scaling theory

Physica, 1974
Abstract The origin and physical meaning of the scaling and homogeneity hypotheses in the theory of equilibrium critical phenomena are discussed. The purely thermodynamic critical-point exponent relations, and those that also involve the coherence length, are first derived from separate and apparently unrelated hypotheses.
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Topics on critical point theory [PDF]

, 1993
Many questions in mathematics and physics can be reduced to the problem of finding and classifying the critical points of a suitable functional on an appropriate manifold. In this thesis, we will be concerned with the problems of existence, location and structure of critical points by building upon the well known min-max methods that are presently used
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Subdifferential Calculus and Nonsmooth Critical Point Theory

SIAM Journal on Optimization, 2000
Summary: 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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Variational Principles and Critical Point Theory [PDF]

, 2013
This 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, Nikolaos S. Papageorgiou, Viorica Venera Motreanu   +2 more
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The Minimax Approach to the Critical Point Theory

1995
Note 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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Critical points with discrete Morse theory

ACM SIGGRAPH 2015 Posters, 2015
In 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 ...
Xiaoning Wang, He Ying, Peihong Guo, Ergun Akleman, Wei Liu   +4 more
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The Classical Theory of Critical Points

1994
The 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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Near the Critical Point: Scaling Theory [PDF]

, 1989
The behaviour of the percolation process on L d depends dramatically on whether p p c . In the former subcritical case, all open clusters are almost surely finite and their size-distribution has a tail which decays exponentially. In the latter supercritical case, there exists almost surely an infinite open cluster and the size-distribution of the ...
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On topological and metric critical point theory

Journal of Fixed Point Theory and Applications, 2009
Starting from the concept of Morse critical point, introduced in [19], we propose a possible approach to critical point theory for continuous functionals defined on topological spaces, which includes some classical results, also in an infinite-dimensional setting.
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Critical point theory and global lorentzian geometry

Nonlinear Analysis: Theory, Methods & Applications, 1997
The 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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