Results 31 to 40 of about 293,756 (338)
On perturbation theory and critical exponents for self-similar systems
Gravitational critical collapse in the Einstein-axion-dilaton system is known to lead to continuous self-similar solutions characterized by the Choptuik critical exponent $$\gamma $$ γ . We complete the existing literature on the subject by computing the
Ehsan Hatefi, Adrien Kuntz
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In this paper, we study the Neumann boundary value problem to a quasilinear elliptic equation with the critical Sobolev exponent and critical Hardy–Sobolev exponent, and prove the existence of nontrivial nonnegative solution by means of variational ...
Yuanxiao Li, Xiying Wang
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Nuclear Multifragmentation Critical Exponents [PDF]
We show that the critical exponents of nuclear multi-fragmentation have not been determined conclusively yet.
Bauer, Wolfgang, Friedman, William
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Critical Tsallis exponent in heavy ion reaction [PDF]
The numerical solution of the nonlocal kinetic equation allows to simulate heavy ion reactions around Fermi energy. The expansion velocity and density profile show specific radial dependence which can be described with a Tsallis exponent of $q=5/3$. This
Morawetz, Klaus
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Noether Symmetries and Critical Exponents [PDF]
We show that all Lie point symmetries of various classes of nonlinear differential equations involving critical nonlinearities are variational/divergence symmetries.
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Normalized solutions for nonlinear Kirchhoff type equations in high dimensions
We study the normalized solutions for nonlinear Kirchhoff equation with Sobolev critical exponent in high dimensions $ \mathbb{R}^N(N\geqslant4) $. In particular, in dimension $ N = 4 $, there is a special phenomenon for Kirchhoff equation that the mass ...
Lingzheng Kong, Haibo Chen
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Inhomogeneous Neumann problem with critical Sobolev exponent
We investigate the solvability of the inhomogeneous Neumann problem involving the critical Sobolev exponent. In particular, we discuss the impact of the shape of the graph of the coefficient of the critical exponent on the existence of a solution.
Chabrowski Jan
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The dynamic exponent of the Ising model on negatively curved surfaces [PDF]
We investigate the dynamic critical exponent of the two-dimensional Ising model defined on a curved surface with constant negative curvature. By using the short-time relaxation method, we find a quantitative alteration of the dynamic exponent from the ...
Binder K +16 more
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The paper is concerned with the existence and multiplicity of positive solutions of the nonhomogeneous Choquard equation over an annular type bounded domain.
Goel Divya, Sreenadh Konijeti
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Critical exponent for the Anderson transition in the three-dimensional orthogonal universality class
We report a careful finite size scaling study of the metal–insulator transition in Anderson's model of localization. We focus on the estimation of the critical exponent ν that describes the divergence of the localization length.
Keith Slevin, Tomi Ohtsuki
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