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] ...

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 ...

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 ...

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, ...

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 ...