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Multiple bound states for the Schrödinger–Poisson problem
MULTIPLE BOUND STATES FOR THE SCHRÖDINGER–POISSON PROBLEM | Communications
in Contemporary Mathematics World Scientific Search This Journal Anywhere Quick Search …
in Contemporary Mathematics World Scientific Search This Journal Anywhere Quick Search …
Existence of least energy nodal solution for a Schrödinger–Poisson system in bounded domains
Existence of least energy nodal solution for a Schrödinger–Poisson system in bounded domains
Page 1 Z. Angew. Math. Phys. 65 (2014), 1153–1166 c© 2013 Springer Basel …
Page 1 Z. Angew. Math. Phys. 65 (2014), 1153–1166 c© 2013 Springer Basel …
On the Schrodinger-Poisson-Slater system: behavior of minimizers, radial and nonradial cases
This paper is motivated by the study of a version of the so-called Schrodinger-Poisson-Slater
problem: $$-\Delta u+\omega u+\lambda (u^ 2\star\frac {1}{| x|}) u=| u|^{p-2} u, $$ where …
problem: $$-\Delta u+\omega u+\lambda (u^ 2\star\frac {1}{| x|}) u=| u|^{p-2} u, $$ where …
Existence and concentration behavior of positive solutions to Schrödinger-Poisson-Slater equations
Y Li, B Zhang, X Han - Advances in Nonlinear Analysis, 2023 - degruyter.com
This article is directed to the study of the following Schrödinger-Poisson-Slater type
equation:− ε 2 Δ u+ V (x) u+ ε− α (I α∗∣ u∣ 2) u= λ∣ u∣ p− 1 u in RN, where ε, λ> 0 are …
equation:− ε 2 Δ u+ V (x) u+ ε− α (I α∗∣ u∣ 2) u= λ∣ u∣ p− 1 u in RN, where ε, λ> 0 are …
Optimal error bounds on the exponential wave integrator for the nonlinear Schrödinger equation with low regularity potential and nonlinearity
We establish optimal error bounds for the exponential wave integrator (EWI) applied to the
nonlinear Schrödinger equation (NLSE) with-potential and/or locally Lipschitz nonlinearity …
nonlinear Schrödinger equation (NLSE) with-potential and/or locally Lipschitz nonlinearity …
Infinitely many positive solutions for the nonlinear Schrödinger–Poisson system
G Li, S Peng, S Yan - Communications in Contemporary …, 2010 - World Scientific
We consider the following nonlinear Schrödinger–Poisson system in ℝ3 where K (r) and Q
(r) are bounded and positive functions, 1< p< 5. Assume that K (r) and Q (r) have the …
(r) are bounded and positive functions, 1< p< 5. Assume that K (r) and Q (r) have the …
The Schrödinger-Poisson-Xα equation
NJ Mauser - Applied mathematics letters, 2001 - Elsevier
We deal with the inclusion of exchange effects in the self-consistent one particle
Schrödinger equation. For the stationary case local approximations (of the Hartree-Fock …
Schrödinger equation. For the stationary case local approximations (of the Hartree-Fock …
Cluster solutions for the Schrödinger-Poisson-Slater problem around a local minimum of the potential
u=| u| p− 1 u, x∈ R3, where V (x) is an external potential and p∈(1, 5). The interest on this
problem stems from the Slater approximation of the exchange term in the Hartree-Fock …
problem stems from the Slater approximation of the exchange term in the Hartree-Fock …
Ground and bound states for a static Schrödinger–Poisson–Slater problem
In this paper the following version of the Schrödinger–Poisson–Slater problem is studied:
where u: ℝ3→ ℝ and μ> 0. The case p< 2 being already studied, we consider here p≥ 2 …
where u: ℝ3→ ℝ and μ> 0. The case p< 2 being already studied, we consider here p≥ 2 …
Error estimates of the time-splitting methods for the nonlinear Schrödinger equation with semi-smooth nonlinearity
We establish error bounds of the Lie-Trotter time-splitting sine pseudospectral method for
the nonlinear Schrödinger equation (NLSE) with semi-smooth nonlinearity $ f …
the nonlinear Schrödinger equation (NLSE) with semi-smooth nonlinearity $ f …