Results 51 to 60 of about 2,058,787 (289)
Boundary Value Problems, 2021 In this paper, we focus on the existence of solutions for the Choquard equation { − Δ u + V ( x ) u = ( I α ∗ | u | α N + 1 ) | u | α N − 1 u + λ | u | p − 2 u , x ∈ R N ; u ∈ H 1 ( R N ) , $$\begin{aligned} \textstyle\begin{cases} {-}\Delta {u}+V(x)u ...
Jing Zhang, Qiongfen Zhang
doaj +1 more source
Exact ground states for the four-electron problem in a Hubbard ladder
, 2006 The exact ground state of four electrons in an arbitrary large two leg Hubbard ladder is deduced from nine analytic and explicit linear equations. The used procedure is described, and the properties of the ground state are analyzed.
Amaya-Tapia A +27 more
core +1 more source
Ground state and excitation spectra of a strongly correlated lattice by the coupled cluster method [PDF]
, 2012 We apply Coupled Cluster Method to a strongly correlated lattice and develop the Spectral Coupled Cluster equations by finding an approximation to the resolvent operator, that gives the spectral response for an certain class of probe operators.
Bartlett +15 more
core +1 more source
Pediatric Blood &Cancer, EarlyView.ABSTRACT Hemoglobinopathies are prevalent globally; diagnosis is complex in high genetic admixture populations like Brazil. We report, in two pediatric siblings, the first documented cases in Brazil of heterozygosity for hemoglobin (Hb) O‐Arab with coinheritance of α‐thalassemia (αα/−α4.2; −α3.7/−α4.2), resulting in microcytic and hypochromic anemia ...
Elisângela de Souza Miranda Muynarsk +9 more
wiley +1 more source
Many-body spin interactions and the ground state of a dense Rydberg lattice gas
, 2011 We study a one-dimensional atomic lattice gas in which Rydberg atoms are excited by a laser and whose external dynamics is frozen. We identify a parameter regime in which the Hamiltonian is well-approximated by a spin Hamiltonian with quasi-local many ...
Igor Lesanovsky +3 more
core +1 more source
Electronic Journal of Qualitative Theory of Differential Equations, 2018 The purpose of this paper is to study the existence of ground state solution for the Schr\"{o}dinger–Poisson systems: \[\begin{cases} -\Delta u+V(x)u+K(x)\phi u=Q(x)|u|^{4}u+f(x,u),&x\in\mathbb{R}^{3},\\ -\Delta\phi=K(x)u^{2},&x\in\mathbb{R}^{3}, \end ...
Da-Bin Wang, Hua-Fei Xie, Wen Guan
doaj +1 more source
Scientific Reports, 2021 Concrete diaphragm walls (CDWs) are widely used as support of deep excavation in soft ground in urban areas. Ground deformation occurs during the excavation of trenches for the installation of the CDW panels due to ground stress release.
Guichun Zhu
doaj +1 more source
Existence of Solutions for Planar Kirchhoff–Choquard Problems
Mathematics, 2023 In this article, we are interested in the study of the following Kirchhoff–Choquard equations: −a+b∫R2|∇u|2dxΔu+V(x)u=λ(ln|x|∗u2)u+f(u),x∈R2, where λ>0,a>0,b>0, V and f are continuous functions with some appropriate assumptions.
Rui Niu, Tianxing Wu
doaj +1 more source
Ground state on the dumbbell graph [PDF]
, 2016 We consider standing waves in the focusing nonlinear Schr\"odinger (NLS) equation on a dumbbell graph (two rings attached to a central line segment subject to the Kirchhoff boundary conditions at the junctions).
Marzuola, Jeremy L. +1 more
core +3 more sources
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Neuropsychological complications may impair the qualitative prognosis of patients with pediatric brain tumors. However, multifaceted evaluations cannot be conducted in all patients because they are time consuming and burdensome for patients.
Ami Tabata +9 more
wiley +1 more source