Now showing items 1-10 of 166
Radial symmetry of ground states for a regional fractional nonlinear schrödinger equation
The aim of this paper is to study radial symmetry properties for ground state solutions of elliptic equations involving a regional fractional Laplacian, namely (-[delta])[alfa][ro][ípsilon]+u = f(u)in Rn, for [alfa] ...
Symmetry of mountain pass solutions of some vector field equations
(SpringerNew YorkEUA, 2006)
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 ...
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 ...
Radial symmetry of positive solutions to equations involving the fractional laplacian
(WORLD SCIENTIFIC PUBLI CO PTE LTD., 2014)
Existence and symmetry of least energy nodal solutions for Hamiltonian elliptic systems
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, ...
Perturbative breaking of the pseudospin symmetry in the relativistic harmonic oscillator
(World Scientific Publ Co Pte Ltd, 2004-08-01)
We show that relativistic mean fields theories with scalar S, and vector V, quadratic radial potentials can generate a harmonic oscillator with exact pseudospin symmetry and positive energy bound states when S = -V. The ...