Results 291 to 300 of about 1,342,909 (347)

Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems

, 2004
MATHEMATICAL BACKGROUND Sobolev Spaces Set-Valued Analysis Nonsmooth Analysis Nonlinear Operators Elliptic Differential Equations Remarks CRITICAL POINT THEORY Locally Lipschitz Functionals Constrained Locally Lipschitz Functionals Perturbations of ...
L. Gasiński, Nikolaos S. Papageorgiou
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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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MINIMAX METHODS IN CRITICAL POINT THEORY WITH APPLICATIONS TO DIFFERENTIAL EQUATIONS (CBMS Regional Conference Series in Mathematics 65)

, 1987
Discrete and Continuous Dynamical SystemsMinimax Methods in Critical Point Theory with Applications to Differential EquationsAnnales Polonici MathematiciDissertation Abstracts InternationalCritical Point Theorems and Applications to Differential ...
E. N. Dancer
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Nonsmooth critical point theory and applications

Nonlinear Analysis: Theory, Methods & Applications, 1997
Nonsmooth critical point theory is applied to problems in analysis.
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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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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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Critical point theory for distance functions

, 1993
Morse theory is a basic tool in differential topology which also has many applications in Riemannian geometry. Roughly speaking, Morse theory relates the topology of M to the critical points of a Morse function on M .
K. Grove
semanticscholar   +1 more source

Critical Point in the Percus-Yevick Theory

Physical Review A, 1972
Some consequences of the Percus-Yevick theory are studies in the neighborhood of the critical point for adhesive hard spheres and for the 6:12 potential (truncated at $6\ensuremath{\sigma}$). It is shown that the Percus-Yevick theory gives rise to classical behavior at the critical point. In particular, it is shown that for the compressibility equation
Douglas Henderson, R. D. Murphy
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Critical point theory in knot complements

Differential Geometry and its Applications, 2014
Abstract Given a Morse function defined in the complement of a knot K ⊂ R 3 we obtain a lower bound for the number of its critical points, depending on a knot invariant t ( K ) known as the “tunnel number”. This lower bound is used to prove existence of many periodic solutions in a system of differential equations from ...
Julian Haddad, Pablo Amster
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Critical Point Theory and Variational Methods [PDF]

, 2009
*The variational method in the study of nonlinear boundary value problems is based on the critical point theory, that provides minimax characterizations of the critical values over certain homotopically stable families of sets. Using the deformation method, we derive the main results of the smooth critical point theory and we also present results ...
Nikolaos S. Papageorgiou, Sophia Th. Kyritsi-Yiallourou   +1 more
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