Results 61 to 70 of about 903,698 (303)

The Keller–Osserman-type conditions for the study of a semilinear elliptic system

Boundary Value Problems, 2019
We study the following system of equations: 0.1 {Δu1=p1(|x|)f1(u1,u2)in RN,Δu2=p2(|x|)f2(u1,u2)in RN. $$ \textstyle\begin{cases} \Delta u_{1}=p_{1} ( \vert x \vert ) f_{1} ( u_{1},u_{2} ) &\text{in }\mathbb{R}^{N}, \\ \Delta u_{2}=p_{2} ( \vert x \vert )
Dragos-Patru Covei
doaj   +1 more source

Existence of entire radial solutions to Hessian type system

Boundary Value Problems, 2022
In this paper, the Dirichlet problem of Hessian type system is studied. After converting the existence of an entire solution to the existence of a fixed point of a continuous mapping, the existence of entire radial solutions is established by Schaefer ...
Jixian Cui
doaj   +1 more source

Prevalence of 21 Physician‐Defined Severe Toxicities Following Childhood Acute Lymphoblastic Leukemia Treatment: Australian Retrospective Cohort Study

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Acute lymphoblastic leukemia (ALL) is the most common pediatric cancer, with an overall survival now surpassing 90% in developed countries. However, treatments are not without adverse effects. In this study, we apply the severe toxicity‐free survival (STFS) framework to determine the prevalence of 21 physician‐defined severe ...
Lane Collier, Brittany Grantham, Camilla Grud Nielsen, Louise Lundgren, Liv Andrés‐Jensen, Kjeld Schmiegelow, Chris Selman, Gareth Ball, Elyse Passmore, David A. Elliott, Rachel Conyers   +10 more
wiley   +1 more source

Optimal energy growth lower bounds for a class of solutions to the vectorial Allen-Cahn equation [PDF]

, 2014
We prove optimal lower bounds for the growth of the energy over balls of minimizers to the vectorial Allen-Cahn energy in two spatial dimensions, as the radius tends to infinity. In the case of radially symmetric solutions, we can prove a stronger result
Sourdis, Christos
core  

Sustained Therapeutic Efficacy of Intravenous Plasminogen Concentrate in Pediatric Patients With Type 1 Plasminogen Deficiency: An Analysis of Dosing Parameters and Clinical Outcomes

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Type 1 plasminogen deficiency (PLGD‐1) is an ultra‐rare autosomal recessive disorder caused by variants in the PLG gene and affects approximately 1.6 individuals per million. The condition is characterized by decreased plasminogen levels and impaired function, resulting in fibrin‐rich lesions on mucous membranes throughout the body.
Charles Nakar, Karen Thibaudeau, Mary Mathias, Heather McDaniel, Madlen Reschke, Klaus Tenbrock, Joseph M. Parker, Amy Shapiro   +7 more
wiley   +1 more source

On Transcendental Entire Solution of Fermat-Type Trinomial and Binomial Equations Under Restricted Hyper-Order

Annales Mathematicae Silesianae
In this paper we are focusing on finding the transcendental entire solution of Fermat-type trinomial and binomial equations, by restricting the hyper-order to be less than one.
Banerjee Abhijit, Sarkar Jhuma
doaj   +1 more source

Existence of entire solutions of some non-linear differential-difference equations

Journal of Inequalities and Applications, 2017
In this paper, we investigate the admissible entire solutions of finite order of the differential-difference equations ( f ′ ( z ) ) 2 + P 2 ( z ) f 2 ( z + c ) = Q ( z ) e α ( z ) $(f'(z))^{2}+P^{2}(z)f^{2}(z+c)=Q(z)e^{\alpha(z)}$ and ( f ′ ( z ) ) 2 + [
Minfeng Chen, Zongsheng Gao, Yunfei Du
doaj   +1 more source

Existence and nonexistence of entire k-convex radial solutions to Hessian type system

Advances in Difference Equations, 2021
In this paper, a Hessian type system is studied. After converting the existence of an entire solution to the existence of a fixed point of a continuous mapping, the existence of entire k-convex radial solutions is established by the monotone iterative ...
Jixian Cui
doaj   +1 more source

ENTIRE SOLUTIONS OF THE GENERALIZED HESSIAN INEQUALITY

Rocky Mountain Journal of Mathematics
In this paper, we discuss the more general Hessian inequality $σ_{k}^{\frac{1}{k}}(λ(D_i (A\left(|Du|\right) D_j u)))\geq f(u)$ including the Laplacian, p-Laplacian, mean curvature, Hessian, k-mean curvature operators, and provide a necessary and sufficient condition on the global solvability, which can be regarded as generalized Keller-Osserman ...
Li, Xiang, Hao, Jing, Bao, Jiguang
openaire   +2 more sources

Guidelines for Pediatric Radiotherapy Simulation: A Report From the Children's Oncology Group Radiation Oncology Discipline

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Pediatric radiation therapy presents unique challenges compared to adult treatments, including those of immobilization, potential need for sedation, and the critical importance of accurate, reproducible positioning. Additionally, heightened attention to imaging doses is necessary to minimize long‐term toxicity in survivors.
Parham Alaei, Stephen Mihalcik, Sujith Baliga, Young Kwok, Dana Casey, Eric Ehler, Christiane Burton, John C. Breneman, Daphne A. Haas‐Kogan, Suzanne L. Wolden, Arnold C. Paulino, Nadia N. Laack, Natia Esiashvili, Sarah Milgrom, Christine Hill‐Kayser, Thomas J. Fitzgerald, John A. Kalapurakal, Chia‐Ho Hua   +17 more
wiley   +1 more source