Results 31 to 40 of about 249,335 (265)
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
Early Impact of Childhood Opportunity on Neurocognitive Outcomes in Sickle Cell Disease
ABSTRACT Introduction Neurocognitive impairment is a well‐recognized complication of sickle cell disease (SCD) that begins early in childhood and persists across development. While cerebrovascular injury contributes substantially to risk, neurocognitive deficits are also observed in children without overt or silent cerebral infarctions, suggesting ...
Julia E. LaMotte +5 more
wiley +1 more source
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
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ABSTRACT Background Adolescents with haematological malignancies face significant emotional and relational challenges, often accompanied by difficulties in communicating their needs within the healthcare context. To address these issues, a narrative‐based psycho‐educational intervention based on the creation and prescription of Ironic Medications was ...
Marta Stoppa +7 more
wiley +1 more source
Ground state solution for Schrödinger-Choquard equation: doubly critical case
In this paper, we investigate the following Schrödinger-Choquard equation: − Δ u + u = ( I α ∗ | u | 2 α ♯ ) | u | 2 α ♯ − 2 u + | u | q − 2 u + | u | r − 2 u , x ∈ R N , $$ -\Delta u+u = (I_{\alpha }*|u|^{2_{\alpha }^{\sharp }})|u|^{2_{\alpha }^{ \sharp
Yusheng Shen, Zhiwei Zou, You Gao
doaj +1 more source
ABSTRACT Objectives The association between exposure to dinutuximab beta (DB) and event‐free survival (EFS) or overall survival (OS) of neuroblastoma patients was assessed using data collected during three clinical trials (five cohorts). Methods A systematic review (March 2026) was conducted to identify relevant studies (prospective; registered DB ...
Przemysław Holko +19 more
wiley +1 more source
Ground state solution of a nonlocal boundary-value problem
In this article, we apply the Nehari manifold method to study the Kirchhoff type equation $$ -\Big(a+b\int_\Omega|\nabla u|^2dx\Big)\Delta u=f(x,u) $$ subject to Dirichlet boundary conditions.
Cyril Joel Batkam
doaj
Ground state solutions to nonlinear equations with p-Laplacian
Ground state solutions are solutions \( u \) of some kind of equations such as the equation \[ \operatorname{div} (r(x)\left|\nabla u\right|^{p-2}\nabla u )+ q(x) F(u) = 0, p > 1,x\in \mathbb{R}^d, \] which are positive, minimize a certain energy functional, and satisfy \(\lim_{|x|\to\infty} u(x) = 0.\) In this paper the authors investigate the ...
Zuzana Došlá, Serena Matucci
openaire +3 more sources
Ground state solutions for non-periodic discrete nonlinear Schrödinger equations
<abstract><p>In this paper, we consider the following periodic discrete nonlinear Schrödinger equation</p> <p><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ \begin{equation*} Lu_{n}-\omega u_{n} = g_{n}(u_{n}), \qquad n = (n_{1}, n_{2}, ..., n_{m})\in \mathbb{Z}^{m}, \end{equation*} $\end ...
Xionghui Xu, Jijiang Sun
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ABSTRACT Background Medication nonadherence during the first 100 days after pediatric hematopoietic stem cell transplantation (HSCT) and during oncology treatment increases risk for complications. BMT4me is a caregiver‐facing mobile health (mHealth) application providing medication reminders, symptom tracking, and note‐taking features to support ...
Micah A. Skeens +4 more
wiley +1 more source

