Results 61 to 70 of about 2,058,787 (289)
GROUND STATE SOLUTION FOR A CLASS FRACTIONAL HAMILTONIAN SYSTEMS
Journal of Applied Analysis & Computation, 2018 Summary: In this paper, we consider a class of Hamiltonian systems of the form \(_tD_\infty^\alpha(_{-\infty} D_t^\alpha u(t))+L(t) u(t)-\nabla W(t,u(t))=0\) where \(\alpha\in(\frac{1}{2},1)\), \(_{-\infty}D_t^\alpha\) and \(_tD_\infty^\alpha\) are left and right Liouville-Weyl fractional derivatives of order \(\alpha\) on the whole axis \(R ...
Lv, Ying, Tang, Chunlei, Guo, Boling
openaire +2 more sources
Exact ground state of finite Bose-Einstein condensates on a ring
, 2005 The exact ground state of the many-body Schr\"odinger equation for $N$ bosons on a one-dimensional ring interacting via pairwise $\delta$-function interaction is presented for up to fifty particles.
Alexej I. Streltsov +6 more
core +1 more source
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Alveolar soft part sarcoma (ASPS) is a rare soft tissue sarcoma occurring most commonly in adolescence and young adulthood. Methods We present the clinical characteristics, treatments, and outcomes of patients with newly diagnosed ASPS enrolled on the Children's Oncology Group study ARST0332.
Jacquelyn N. Crane +11 more
wiley +1 more source
On a Brezis-Nirenberg type problem
Electronic Journal of Differential Equations, 2006 In this note we discuss the existence and symmetry breaking of least energy solutions for certain weighted elliptic equations in the unit ball in $mathbb{R}^N$, with zero Dirichlet boundary conditions. We prove a multiplicity result, which answers one of
Florin Catrina
doaj
Ground state solutions for a nonlinear Choquard equation
, 2016 We discuss the existence of ground state solutions for the Choquard equation $$- u=(I_ *F(u))F'(u)\quad\quad\quad\text{in }\mathbb R^N.$$ We prove the existence of solutions under general hypotheses, investigating in particular the case of a homogeneous nonlinearity $F(u)=\frac{|u|^p}p$.
openaire +4 more sources
Ground state solutions of scalar field fractional Schrödinger equations
Calculus of Variations and Partial Differential Equations, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Molica Bisci G, Radulescu R
openaire +3 more sources
Reciprocal control of viral infection and phosphoinositide dynamics
FEBS Letters, EarlyView.Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
wiley +1 more source
Exact solution of the p+ip pairing Hamiltonian and a hierarchy of integrable models
, 2010 Using the well-known trigonometric six-vertex solution of the Yang-Baxter equation we derive an integrable pairing Hamiltonian with anyonic degrees of freedom. The exact algebraic Bethe ansatz solution is obtained using standard techniques.
Dunning, Clare +4 more
core +1 more source
FEBS Letters, EarlyView.Fluorescent probes allow dynamic visualization of phosphoinositides in living cells (left), whereas mass spectrometry provides high‐sensitivity, isomer‐resolved quantitation (right). Their synergistic use captures complementary aspects of lipid signaling. This review illustrates how these approaches reveal the spatiotemporal regulation and quantitative
Hiroaki Kajiho +3 more
wiley +1 more source
Ground-state energies of the open and closed p + ip-pairing models from the Bethe Ansatz
Nuclear Physics B, 2018 Using the exact Bethe Ansatz solution, we investigate methods for calculating the ground-state energy for the p+ip-pairing Hamiltonian. We first consider the Hamiltonian isolated from its environment (closed model) through two forms of Bethe Ansatz ...
Yibing Shen, Phillip S. Isaac, Jon Links
doaj +1 more source