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Inequalities of critical point theory [PDF]
Bulletin of the American Mathematical Society, 1958 A purpose of critical point theory is the counting of critical points of functions. Principal theorems in the subject state in precise terms that topological complexity of the underlying space is reflected in the existence and nature of critical points ...
Everett Pitcher
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Variational Methods and Critical Point Theory [PDF]
Abstract and Applied Analysis, 2012 M. Victoria Otero-Espinar +3 more
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The theory of condensation and the critical point [PDF]
Physics Physique Fizika, 1967 The droplet or cluster theory of condensation is reviewed critically and extended. It is shown to imply that the condensation point is marked by a singularity of the thermodynamic potential as conjectured by Mayer. The singularity turns out to be an essential singularity at which all derivatives of the thermodynamic variables remain finite.
Michael E. Fisher
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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.
M. Schechter
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Variational Methods and Critical Point Theory 2013 [PDF]
Abstract and Applied Analysis, 2013 1 Departamento de Analise Matematica, Facultade de Matematicas, Universidade de Santiago de Compostela, Galicia, 15782 Santiago de Compostela, Spain 2Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia 3 School of Mathematics, Statistics and Applied Mathematics, National University of ...
M. Victoria Otero-Espinar +3 more
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Critical point in a holographic defect field theory [PDF]
Journal of High Energy Physics, 2019 We study a holographic gauge theory dual to the D3/D5 intersection. We consider a pure gauge B-field flux through the internal two-sphere wrapped by the probe D5-brane, which corresponds to a non-commutative configuration of adjoint scalars.
Veselin G. Filev, R. C. Rashkov
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The Use of Cerami Sequences in Critical Point Theory [PDF]
Abstract and Applied Analysis, 2007 The concept of linking was developed to produce Palais-Smale (PS) sequences G(uk)→a, G'(uk)→0 for C1functionals G that separate linking sets. These sequences produce critical points if they have convergent subsequences (i.e., if G satisfies the PS ...
Martin Schechter
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Deformation techniques in metric critical point theory
Advances in Nonlinear Analysis, 2013 We propose a synthetic and self-contained treatment of the main deformation results of critical point theory, for continuous functionals defined on metric spaces.
Corvellec Jean-Noël
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Off-equilibrium non-Gaussian fluctuations near the QCD critical point: an effective field theory perspective [PDF]
Journal of High Energy Physics, 2022 The non-Gaussian fluctuations of baryon density are sensitive to the presence of the conjectured QCD critical point. Their observational consequences are crucial for the ongoing experimental search for this critical point through the beam energy scan ...
Noriyuki Sogabe, Yi Yin
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Entanglement and Chaos near critical point in strongly coupled Gauge theory [PDF]
European Physical Journal C: Particles and FieldsWe perform a holographic study of the high and low temperature behaviours of logarithmic negativity (LN) and entanglement wedge cross section (EWCS) in a large N strongly coupled thermal field theory with critical point, having a well defined gravity ...
Debanjan Karan, Sanjay Pant
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