Add to ORKGAbstract. We prove Lp lower bounds for Coulomb energy for radially sym-metric functions in Ḣs(R3) with 12 < s < 3 2. In case 1 2 < s ≤ 1 we show that the lower bounds are sharp. In this paper we prove lower bounds for the Coulomb energyx R3×R3 |ϕ(x)|2|ϕ(y)|2 |x − y | dxdy if radial symmetry of ϕ is assumed. In the general case, without restricting to radial functions, the upper bound for the Coulomb energy is given by the well known Hardy-Littlewood-Sobolev inequality while lower bounds have been proved only very recently. In particular if one can control suitable homogeneous Sobolev space Ḣs(R3) the Lp lower bound for the Coulomb energy is given by the following inequalities (0.1) ‖ϕ‖L2p ≤ C(p, s)‖ϕ
The wave function for an electron in combined Coulomb and uniform magnetic fields is expanded in obl...
We analyze bound states and other properties of solutions of a radial Schrödinger equation with a ne...
International audienceThe Lieb-Oxford inequality provides a lower bound on the Coulomb energy of a c...
We prove scaling invariant Gagliardo–Nirenberg type inequalities of the form (Formula Presented) inv...
La tesi inizia dalla dimostrazione di alcune disuguaglianze, tra cui Sobolev logaritmica e Hardy-Lit...
La tesi inizia dalla dimostrazione di alcune disuguaglianze, tra cui Sobolev logaritmica e Hardy-Lit...
The Lieb–Oxford inequality provides a lower bound on the Coulomb energy of a classical system of N i...
The wave function for an electron in combined Coulomb and uniform magnetic fields is expanded in obl...
We study the radial symmetry of minimizers to the Schrödinger–Poisson–Slater (S–P–S) energy
The energies and wave functions of the 1s, 2s, 2p(ml=0), and 2p(ml=±1) levels of hydrogen in a unifo...
We study the radial symmetry of minimizers to the Schrödinger–Poisson–Slater (S–P–S) energy
The energies and wave functions of the 1s, 2s, 2p(ml=0), and 2p(ml=±1) levels of hydrogen in a unifo...
The Lieb-Oxford inequality provides a lower bound on the Coulomb energy of a classical system of $N$...
In this work we give upper bounds for the Coulomb energy of a sequence of well separated spherical $...
We analyze bound states and other properties of solutions of a radial Schrödinger equation with a ne...
The wave function for an electron in combined Coulomb and uniform magnetic fields is expanded in obl...
We analyze bound states and other properties of solutions of a radial Schrödinger equation with a ne...
International audienceThe Lieb-Oxford inequality provides a lower bound on the Coulomb energy of a c...
We prove scaling invariant Gagliardo–Nirenberg type inequalities of the form (Formula Presented) inv...
La tesi inizia dalla dimostrazione di alcune disuguaglianze, tra cui Sobolev logaritmica e Hardy-Lit...
La tesi inizia dalla dimostrazione di alcune disuguaglianze, tra cui Sobolev logaritmica e Hardy-Lit...
The Lieb–Oxford inequality provides a lower bound on the Coulomb energy of a classical system of N i...
The wave function for an electron in combined Coulomb and uniform magnetic fields is expanded in obl...
We study the radial symmetry of minimizers to the Schrödinger–Poisson–Slater (S–P–S) energy
The energies and wave functions of the 1s, 2s, 2p(ml=0), and 2p(ml=±1) levels of hydrogen in a unifo...
We study the radial symmetry of minimizers to the Schrödinger–Poisson–Slater (S–P–S) energy
The energies and wave functions of the 1s, 2s, 2p(ml=0), and 2p(ml=±1) levels of hydrogen in a unifo...
The Lieb-Oxford inequality provides a lower bound on the Coulomb energy of a classical system of $N$...
In this work we give upper bounds for the Coulomb energy of a sequence of well separated spherical $...
We analyze bound states and other properties of solutions of a radial Schrödinger equation with a ne...
The wave function for an electron in combined Coulomb and uniform magnetic fields is expanded in obl...
We analyze bound states and other properties of solutions of a radial Schrödinger equation with a ne...
International audienceThe Lieb-Oxford inequality provides a lower bound on the Coulomb energy of a c...