Results 21 to 30 of about 2,375,016 (321)

Positive Radially Symmetric Entire Solutions of p-k-Hessian Equations and Systems

Mathematics, 2022
In this paper, we discuss the existence of positive radially symmetric entire solutions of the p-k-Hessian equation σk1kλDi|Du|p−2Dju=α1k(|x|)f(u), and the general p-k-Hessian system σk1kλDi|Du|p−2Dju=α1k(|x|)f1(v)f2(u), σk1kλDi|Dv|p−2Djv=β1k(|x|)g1(u)g2(
Wei Fan, Limei Dai, Bo Wang
doaj   +1 more source

AN EXISTENCE RESULT FOR SYSTEMS THAT APPEAR IN [PDF]

Fiabilitate şi Durabilitate, 2012
Many of the engineering developments often occur as a result of the intersection betweenscientific communities with system of differential equations. They, although discussed in manypapers from the specialized literature, still are not completely solved.
Dragoş-Pătru COVEI
doaj  

The growth of entire solutions of certain nonlinear differential-difference equations

AIMS Mathematics, 2022
This paper is concerned with entire solutions of nonlinear differential-difference equations. We will characterize the growth of entire solutions for two classes of nonlinear differential-difference equations.
Wenjie Hao, Qingcai Zhang
doaj   +1 more source

Uniqueness of entire solutions to quasilinear equations of p-Laplace type

Mathematics in Engineering, 2023
We prove the uniqueness property for a class of entire solutions to the equation $ \begin{equation*} \left\{ \begin{array}{ll} -{\rm div}\, \mathcal{A}(x,\nabla u) = \sigma, \quad u\geq 0 \quad {\text{in }} \mathbb{R}^n, \\ {\liminf\limits_{|x ...
Nguyen Cong Phuc, Igor E. Verbitsky
doaj   +1 more source

Multidimensional entire solutions for an elliptic system modelling phase separation

, 2016
For the system of semilinear elliptic equations \[ \Delta V_i = V_i \sum_{j \neq i} V_j^2, \qquad V_i > 0 \qquad \text{in $\mathbb{R}^N$} \] we devise a new method to construct entire solutions.
Soave, Nicola, Zilio, Alessandro
core   +1 more source

Entire solutions of quasilinear elliptic systems on Carnot Groups

, 2013
We prove general a priori estimates of solutions of a class of quasilinear elliptic system on Carnot groups. As a consequence, we obtain several non existence theorems.
D'Ambrosio, Lorenzo, Mitidieri, Enzo
core   +1 more source

Entire solutions of diffusive Lotka-Volterra system [PDF]

Journal of Differential Equations, 2020
This work is concerned with the existence of entire solutions of the diffusive Lotka-Volterra competition system \begin{equation}\label{eq:abstract} \begin{cases} u_{t}= u_{xx} + u(1-u-av), & \qquad \ x\in\mathbb{R} \cr v_{t}= d v_{xx}+ rv(1-v-bu), & \qquad \ x\in\mathbb{R} \end{cases} \quad (1) \end{equation} where $d,r,a$, and $b$ are ...
King-Yeung Lam, Rachidi B. Salako, Qiliang Wu   +2 more
openaire   +3 more sources

New Insights on Keller–Osserman Conditions for Semilinear Systems

Mathematics
In this article, we consider a semilinear elliptic system involving gradient terms of the form Δyx+λ1∇yx=pxfyx,zxifx∈Ω,Δzx+λ2∇zx=qxgyxifx∈Ω, where λ1, λ2∈0,∞, Ω is either a ball of radius R>0 or the entire space RN.
Dragos-Patru Covei
doaj   +1 more source

Generalized Harnack inequality for semilinear elliptic equations

, 2016
This paper is concerned with semilinear equations in divergence form \[ \diver(A(x)Du) = f(u) \] where $f :\R \to [0,\infty)$ is nondecreasing. We prove a sharp Harnack type inequality for nonnegative solutions which is closely connected to the classical
Julin, Vesa
core   +1 more source

Exploring lipid diversity and minimalism to define membrane requirements for synthetic cells

FEBS Letters, EarlyView.
Designing the lipid membrane of synthetic cells is a complex task, in which its various roles (among them solute transport, membrane protein support, and self‐replication) should all be integrated. In this review, we report the latest top‐down and bottom‐up advances and discuss compatibility and complexity issues of current engineering approaches ...
Sergiy Gan, Victoria Scarpelli, Marten Exterkate   +2 more
wiley   +1 more source