We study e(λ) = inf spec ( - Δ + λV) and examine when e(λ) < 0 for all λ ╪ 0. We prove that - cλ^2 ≤ e(λ) ≤ - dλ^2 for suitable V and all small |λ|
We prove the existence of ground states for the semi-relativistic Schrodinger-Poisson-Slater energy ...
AbstractWe study the following system of nonlinear Schrödinger equations:{−Δu+μu=|u|p−1u+λv,x∈RN,−Δv...
We consider the Schrödinger operator −∆ + V (x) on H01(Ω), where Ω is a given domain of R . Our goal...
We study e(λ) = inf spec ( - Δ + λV) and examine when e(λ) < 0 for all λ ╪ 0. We prove that - cλ^2 ≤...
AbstractWe find sufficient conditions for the ground state energy e(λ) of −Δ + λV to have an asympto...
We find sufficient conditions for the ground state energy e(λ) of −Δ + λV to have an asymptotic seri...
In this paper we consider the Schrödinger operator H = –d2/dx2+ V in L2(ℝ), where V satisfies an abs...
A new estimate for the ground state energy of Schrodinger operators on 2 L (Rn) (n 2: 1) is presente...
In this paper we study the asymptotic behavior of the ground state energy E(R) of the Schrödinger o...
In this paper we consider the Schrödinger operator H = –d2/dx2+ V in L2(R), where V satisfies an abs...
AbstractMotivated by a recent paper by Montgomery [Mon], we give the asymptotic behavior, in the sem...
The ground state energy E0(λ) of Hλ=-d2/dx2-λe-x2 is computed for small values of λ by means of an a...
AbstractWe treat the Schrödinger operator A=−Δ+q(x)• on L2(RN) with the potential q:RN→[q0,∞) bounde...
On the ionization energy of semi-relativistic Pauli-Fierz model for a single particl
AbstractWe investigate the Schrödinger operator H=−Δ+V acting in L2(Rn), n⩾2, for potentials V that ...
We prove the existence of ground states for the semi-relativistic Schrodinger-Poisson-Slater energy ...
AbstractWe study the following system of nonlinear Schrödinger equations:{−Δu+μu=|u|p−1u+λv,x∈RN,−Δv...
We consider the Schrödinger operator −∆ + V (x) on H01(Ω), where Ω is a given domain of R . Our goal...
We study e(λ) = inf spec ( - Δ + λV) and examine when e(λ) < 0 for all λ ╪ 0. We prove that - cλ^2 ≤...
AbstractWe find sufficient conditions for the ground state energy e(λ) of −Δ + λV to have an asympto...
We find sufficient conditions for the ground state energy e(λ) of −Δ + λV to have an asymptotic seri...
In this paper we consider the Schrödinger operator H = –d2/dx2+ V in L2(ℝ), where V satisfies an abs...
A new estimate for the ground state energy of Schrodinger operators on 2 L (Rn) (n 2: 1) is presente...
In this paper we study the asymptotic behavior of the ground state energy E(R) of the Schrödinger o...
In this paper we consider the Schrödinger operator H = –d2/dx2+ V in L2(R), where V satisfies an abs...
AbstractMotivated by a recent paper by Montgomery [Mon], we give the asymptotic behavior, in the sem...
The ground state energy E0(λ) of Hλ=-d2/dx2-λe-x2 is computed for small values of λ by means of an a...
AbstractWe treat the Schrödinger operator A=−Δ+q(x)• on L2(RN) with the potential q:RN→[q0,∞) bounde...
On the ionization energy of semi-relativistic Pauli-Fierz model for a single particl
AbstractWe investigate the Schrödinger operator H=−Δ+V acting in L2(Rn), n⩾2, for potentials V that ...
We prove the existence of ground states for the semi-relativistic Schrodinger-Poisson-Slater energy ...
AbstractWe study the following system of nonlinear Schrödinger equations:{−Δu+μu=|u|p−1u+λv,x∈RN,−Δv...
We consider the Schrödinger operator −∆ + V (x) on H01(Ω), where Ω is a given domain of R . Our goal...