Results 81 to 90 of about 2,424,151 (268)

Large radial solutions of a polyharmonic equation with superlinear growth

Electronic Journal of Differential Equations, 2007
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, Monica Lazzo, Paul G. Schmidt   +2 more
doaj  

On the Growth of Solutions of Some Second Order Linear Differential Equations with Entire Coefficients

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013
In this paper, we investigate the order and the hyper-order of growth of solutions of the linear differential equation where n≥2 is an integer, Aj (z) (≢0) (j = 1,2) are entire functions with max {σ A(j) : (j = 1,2} < 1, Q (z) = qmzm + ... + q1z + q0 is
Belaïdi Benharrat, Habib Habib
doaj   +1 more source

Existence of entire radial solutions to a class of quasilinear elliptic equations and systems

Electronic Journal of Qualitative Theory of Differential Equations, 2016
In this paper, by a monotone iterative method and the Arzèla-Ascoli theorem, we obtain the existence of entire positive radial solutions to the following quasilinear elliptic equations \[\operatorname{div}(\phi_1(|\nabla u|) \nabla u)+a_1(|x|) \phi_1 ...
Song Zhou
doaj   +1 more source

Dietary Protein Intake and Peritoneal Protein Losses in Peritoneal Dialysis Patients

Therapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Introduction Peritoneal dialysis (PD) patients lose protein in their waste dialysate, potentially increasing their risk for malnutrition. We wished to determine whether there was any association between losses and dietary protein intake (DPI). Methods DPI was assessed from 24‐h dietary recall using Nutrics software.
Haalah Shaaker, Andrew Davenport
wiley   +1 more source

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

Nonexistence of radial entire solutions of elliptic systems

Journal of Differential Equations, 2003
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

Entire solutions of quasilinear symmetric systems [PDF]

Indiana University Mathematics Journal, 2017
We study the following quasilinear elliptic system for all $i=1,\cdots,m$ \begin{equation*} \label{} -div( '(|\nabla u_i|^2) \nabla u_i) = H_i(u) \quad \text{in} \ \ \mathbb{R}^n \end{equation*} where $u=(u_i)_{i=1}^m: \mathbb R^n\to \mathbb R^m$ and the nonlinearity $ H_i(u) \in C^1(\mathbb R^m)\to \mathbb R$ is a general nonlinearity.
openaire   +2 more sources

Effects of the Fluid Replacement Method During Online Hemodiafiltration on the Solute Removal Performance and Biocompatibility Using the Asymmetric Cellulose Triacetate Membrane

Therapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Introduction Pre‐dilution online hemodiafiltration (Pre‐HDF) is predominantly used in Japan, whereas post‐dilution online HDF (Post‐HDF) is more common in Europe. An asymmetric cellulose triacetate (ATA) membrane may improve biocompatibility.
Kenji Sakurai, Yoshitaka Kurihara, Fumi Yamauchi, Hiromi Hosoya, Takeshi Saito   +4 more
wiley   +1 more source

Entire solutions for a nonlinear differential equation

Electronic Journal of Differential Equations, 2011
In this article, we study the existence of solutions to the differential equation $$ f^n(z)+P(f)= P_1e^{h_1}+ P_2e^{h_2}, $$ where $ngeq 2$ is an positive integer, f is a transcendental entire function, $P(f)$ is a differential polynomial in f of ...
Jianming Qi, Jie Ding, Taiying Zhu
doaj  

Revealing the structure of land plant photosystem II: the journey from negative‐stain EM to cryo‐EM

FEBS Letters, EarlyView.
Advances in cryo‐EM have revealed the detailed structure of Photosystem II, a key protein complex driving photosynthesis. This review traces the journey from early low‐resolution images to high‐resolution models, highlighting how these discoveries deepen our understanding of light harvesting and energy conversion in plants.
Roman Kouřil
wiley   +1 more source