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On symmetries of singular implicit ODEs
(2014)
We study implicit ODEs, cubic in derivative, with infinitesimal symmetry at singular points. Cartan showed that even at regular points the existence of nontrivial symmetry imposes restrictions on the ODE. Namely, this ...
Existence and symmetry of least energy nodal solutions for Hamiltonian elliptic systems
(Gauthier-Villars/ElsevierParis, 2015-12)
In this paper we prove existence of least energy nodal solutions for the Hamiltonian elliptic system with Hénon-type weights −Δu = '|X| POT. β' '|V| POT. Q-1' v, −Δv = '|X|POT. α' '|U| POT. P−1' u in Ω, u= v = 0 on ∂Ω, ...
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 ...
Geometric Singular Perturbation Theory for Systems with Symmetry
(2020-01-01)
In this paper we focus on a class of symmetric vector fields in the context of singularly perturbed fast-slow dynamical systems. Our main question is to know how symmetry properties of a dynamical system are affected by ...
Symmetry of mountain pass solutions of some vector field equations
(SpringerNew YorkEUA, 2006)
Chiral symmetry breaking with a confining propagator and dynamically massive gluons
(2011-12-01)
Chiral symmetry breaking in QCD is studied introducing a confining effective propagator, as proposed recently by Cornwall, and considering the effect of dynamically massive gluons. The effective confining propagator has ...
Chiral symmetry breaking with a confining propagator and dynamically massive gluons
(2011-12-01)
Chiral symmetry breaking in QCD is studied introducing a confining effective propagator, as proposed recently by Cornwall, and considering the effect of dynamically massive gluons. The effective confining propagator has ...
Noether Symmetries and Critical Exponents
(Natl Acad Sci Ukraine, Inst MathKyiv 4Ucrânia, 2005)