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Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems
, 2004MATHEMATICAL 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
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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, 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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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, 1997Nonsmooth critical point theory is applied to problems in analysis.
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Near the Critical Point: Scaling Theory [PDF]
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
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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Critical point theory for distance functions
, 1993Morse 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
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Critical Point in the Percus-Yevick Theory
Physical Review A, 1972Some 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, 2014Abstract 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]
*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+1 more
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