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Symmetry and symmetry breaking for minimizers in the trace inequality
(World Scientific, 2011-11)
We consider symmetry properties of minimizers in the variational characterization of the best constant in the trace inequality C∥u∥^p_L^q(∂B_ρ) ≤∥u∥^p_W1,p(Bρ) in the ball Bρ of radius ρ. When p is fixed minimizers in this ...
A Cooperation between Fluctuations and Spatial Coupling for Two Symmetry-Breakings in a Gradient System
(American Physical Society, 2015-12)
A zero-dimensional system that is affected by the field´s dependent fluctuations evolves toward field´s values in which the fluctuations´ effect is minimized. For a high enough noise intensity, it causes an exchange of ...
Symmetry breaking for an elliptic equation involving the fractional Laplacian.
(Khayyam Publishing, Inc., 2018-08)
We study the symmetry breaking phenomenon for an elliptic equation involving the fractional Laplacian in a large ball. Our main tool is an extension of the Strauss radial lemma involving the fractional Laplacian, which ...
Dynamically induced spontaneous symmetry breaking in 3-3-1 models
(Elsevier B.V., 2005-08-11)
We show that in SU(3)(C) circle times SU(3)(L) circle times U(1)(N) (3-3-1) models embedded with a singlet scalar playing the role of the axion, after imposing scale invariance, the breaking of Peccei-Quinn symmetry occurs ...
Dynamically induced spontaneous symmetry breaking in 3-3-1 models
(Elsevier B.V., 2005-08-11)
We show that in SU(3)(C) circle times SU(3)(L) circle times U(1)(N) (3-3-1) models embedded with a singlet scalar playing the role of the axion, after imposing scale invariance, the breaking of Peccei-Quinn symmetry occurs ...
SINGULARITY THEORY and FORCED SYMMETRY BREAKING IN EQUATIONS
(Univ Autonoma Barcelona, 2014)
Experimental Confirmation Of The Transversal Symmetry Breaking In Laser Profiles
(Taylor & Francis LtdAbingdon, 2017)
Symmetry breaking and restoration in the ginzburg–landau model of nematic liquid crystals
(Springer, 2018-06)
In this paper we study qualitative properties of global minimizers of the Ginzburg-Landau energy which describes light-matter interaction in the theory of nematic liquid crystals near the Freedericksz transition. This model ...
DYNAMICAL SYMMETRY BREAKING IN A MINIMAL 3-3-1 MODEL
(World Scientific Publ Co Pte Ltd, 2014)