The Schrödinger–Poisson equation under the effect of a nonlinear local term
D Ruiz - Journal of Functional Analysis, 2006 - Elsevier
The Schrödinger–Poisson equation under the effect of a nonlinear local term Page 1 Journal of
Functional Analysis 237 (2006) 655–674 www.elsevier.com/locate/jfa The Schrödinger–Poisson …
Functional Analysis 237 (2006) 655–674 www.elsevier.com/locate/jfa The Schrödinger–Poisson …
Existence and instability of standing waves with prescribed norm for a class of Schrödinger–Poisson equations
J Bellazzini, L Jeanjean, T Luo - Proceedings of the London …, 2013 - academic.oup.com
In this paper, we study the existence and the instability of standing waves with prescribed L
2-norm for a class of Schrödinger–Poisson–Slater equations in ℝ3 when. To obtain such …
2-norm for a class of Schrödinger–Poisson–Slater equations in ℝ3 when. To obtain such …
Existence of steady states for the Maxwell–Schrödinger–Poisson system: exploring the applicability of the concentration–compactness principle
I Catto, J Dolbeault, Ó Sánchez… - Mathematical Models and …, 2013 - World Scientific
EXISTENCE OF STEADY STATES FOR THE MAXWELL–SCHRÖDINGER–POISSON SYSTEM:
EXPLORING THE APPLICABILITY OF THE CONCENTRATION–C Page 1 Mathematical Models …
EXPLORING THE APPLICABILITY OF THE CONCENTRATION–C Page 1 Mathematical Models …
Multiple normalized solutions for a Sobolev critical Schrödinger-Poisson-Slater equation
L Jeanjean, TT Le - Journal of Differential Equations, 2021 - Elsevier
We look for solutions to the Schrödinger-Poisson-Slater equation (0.1)− Δ u+ λ u− γ (| x|− 1⁎|
u| 2) u− a| u| p− 2 u= 0 in R 3, which satisfy‖ u‖ L 2 (R 3) 2= c for some prescribed c> 0 …
u| 2) u− a| u| p− 2 u= 0 in R 3, which satisfy‖ u‖ L 2 (R 3) 2= c for some prescribed c> 0 …
[PDF][PDF] Positive solution for a nonlinear stationary Schrodinger-Poisson system in R^ 3
Z Wang, H Zhou - Discrete and Continuous Dynamical Systems, 2007 - researchgate.net
(P){−∆ u+ V (x) u+ λφ (x) u= f (x, u), x∈ R3−∆ φ= u2, lim| x|→+∞ φ (x)= 0, where λ> 0 is a
parameter, the potential V (x) may not be radially symmetric, and f (x, s) is asymptotically …
parameter, the potential V (x) may not be radially symmetric, and f (x, s) is asymptotically …
Existence of least energy nodal solution for a Schrödinger–Poisson system in bounded domains
CO Alves, MAS Souto - Zeitschrift für angewandte Mathematik und Physik, 2014 - Springer
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
D Ruiz - arXiv preprint arXiv:0904.2924, 2009 - arxiv.org
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 …
[HTML][HTML] Multiplicity of positive solutions for a nonlinear Schrödinger–Poisson system
In this paper, we study the multiplicity of positive solutions for a nonlinear Schrödinger–
Poisson system:{− Δ u+ λ u+ K (x) ϕ u= Q (x)| u| p− 2 u in R 3,− Δ ϕ= K (x) u 2 in R 3, where …
Poisson system:{− Δ u+ λ u+ K (x) ϕ u= Q (x)| u| p− 2 u in R 3,− Δ ϕ= K (x) u 2 in R 3, where …
[PDF][PDF] Nonexistence of a minimizer for Thomas-Fermi-Dirac-von Weizsäcker model
J Lu, F Otto - Comm. Pure Appl. Math, 2014 - services.math.duke.edu
If the Coulomb term is not present in (1.1) and (1.3), a standard Modica-Mortola type result
establishes a link between the two functional through Gamma convergence when the …
establishes a link between the two functional through Gamma convergence when the …
Existence and asymptotic behavior of sign-changing solutions for the nonlinear Schrödinger–Poisson system in
W Shuai, Q Wang - Zeitschrift für angewandte Mathematik und Physik, 2015 - Springer
We are interested in the existence and asymptotic behavior of sign-changing solutions to the
following nonlinear Schrödinger–Poisson system\left {-Δ u+ V (x) u+ λ ϕ (x) u= f (u),\&\quad x …
following nonlinear Schrödinger–Poisson system\left {-Δ u+ V (x) u+ λ ϕ (x) u= f (u),\&\quad x …