Results 91 to 100 of about 10,711,362 (360)
Entire solutions for nonlinear differential-difference equations
In this article, we study entire solutions of the nonlinear differential-difference equation $$ q(z)f^{n}(z)+a(z)f^{(k)}(z+1)=p_1(z)e^{q_1(z)}+p_2(z)e^{q_2(z)} $$ where $p_1(z)$, $p_2(z)$ are nonzero polynomials, $q_1(z)$, $q_2(z)$ are ...
Na Xu, Ting-Bin Cao, Kai Liu
doaj
ABSTRACT Background B‐acute lymphoblastic leukemia (B‐ALL) is the most common pediatric cancer, and while most children in high‐resource settings are cured, therapy carries risks for long‐term toxicities. Understanding parents’ concerns about these late effects is essential to guide anticipatory support and inform evolving therapeutic approaches ...
Kellee N. Parker +7 more
wiley +1 more source
ABSTRACT Background B‐cell lymphoblastic lymphoma (B‐LBL) represents a rare variety of non‐Hodgkin lymphoma, with limited research on its biology, progression, and management. Methods A retrospective analysis was performed on the clinical characteristics of 256 patients aged ≤18 years who received treatment under the China Net Childhood Lymphoma (CNCL)‐
Zhijuan Liu +20 more
wiley +1 more source
A Liouville type theorem for p-Laplace equations
In this note we study solutions defined on the whole space R^N for the p-Laplace equation $$ \hbox{div}(| \nabla u|^{p-2}\nabla u)+f(u)=0. $$ Under an appropriate condition on the growth of f, which is weaker than conditions previously considered ...
Cristian Enache
doaj
ABSTRACT Bone tumours present significant challenges for affected patients, as multimodal therapy often leads to prolonged physical limitations. This is particularly critical during childhood and adolescence, as it can negatively impact physiological development and psychosocial resilience.
Jennifer Queisser +5 more
wiley +1 more source
Large radial solutions of a polyharmonic equation with superlinear growth
This paper concerns the equation $Delta!^m u=|u|^p$, where $minmathbb{N}$, $pin(1,infty)$, and $Delta$ denotes the Laplace operator in $mathbb{R}^N$, for some $Ninmathbb{N}$. Specifically, we are interested in the structure of the set $mathcal{L}$ of all
J. Ildefonso Diaz +2 more
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Existence for (p, q) critical systems in the Heisenberg group
This paper deals with the existence of entire nontrivial solutions for critical quasilinear systems (𝓢) in the Heisenberg group ℍn, driven by general (p, q) elliptic operators of Marcellini types.
Pucci Patrizia, Temperini Letizia
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Entire Solutions of the Second-Order Fermat-Type Differential-Difference Equation
In this paper, the entire solutions of finite order of the Fermat-type differential-difference equation f″z2+△ckfz2=1 and the system of equations f1″z2+△ckf2z2=1 and f2″z2+△ckf1z2=1 have been studied.
Guoqiang Dang, Jinhua Cai
doaj +1 more source
ABSTRACT Background The delipid extracorporeal lipoprotein filter from plasma (DELP) treatment can effectively reduce blood lipid, increase blood flow, and improve neurological deficits in patients with acute ischemic stroke (AIS). However, its effect on vision and retinal microcirculation in stroke patients has never been reported.
Ning Li +9 more
wiley +1 more source
Nonexistence of radial entire solutions of elliptic systems
The author considers the quasi-variational ordinary differential system \[ [\nabla G(u,u')]'- \nabla_u G(u,u')+ Q(t, u,u')= f(t,u) \] on \(J= (T,\infty)\), \(T\geq 0\), where \(\nabla= \nabla_u\) denotes the gradient operator with respect to the second variable of the function \(G\).
openaire +2 more sources

