Results 41 to 50 of about 3,381,515 (303)
Remarks on two fourth order elliptic problems in whole space
, 2014 We are interested in entire solutions for the semilinear biharmonic equation $\Delta^{2}u=f(u)$ in $\R^N$, where $f(u)=e^{u}$ or $-u^{-p}\ (p>0)$. For the exponential case, we prove that any classical entire solution verifies $-\Delta u>0$ without any ...
Lai, Baishun, Ye, Dong
core +3 more sources
Open Mathematics, 2023 Our purpose in this article is to describe the solutions of several product-type nonlinear partial differential equations (PDEs) (a1u+b1uz1+c1uz2)(a2u+b2uz1+c2uz2)=1,\left({a}_{1}u+{b}_{1}{u}_{{z}_{1}}+{c}_{1}{u}_{{z}_{2}})\left({a}_{2}u+{b}_{2}{u}_{{z}_{
Xu Yi Hui +3 more
doaj +1 more source
Entire solutions to the Monge–Ampère equation
Journal of Mathematical Analysis and Applications, 2010 AbstractWe consider the Monge–Ampère equation det(D2u)=Ψ(x,u,Du) in Rn, n⩾3, where Ψ is a positive function in C2(Rn×R×Rn). We prove the existence of convex solutions, provided there exist a subsolution of the form u̲=a|x|2 and a superharmonic bounded positive function φ satisfying: Ψ>(2a+Δφn)n.
Saoussen Kallel-Jallouli +1 more
openaire +2 more sources
Entire solutions of nonlinear differential-difference equations [PDF]
SpringerPlus, 2016 In this paper, we describe the properties of entire solutions of a nonlinear differential-difference equation and a Fermat type equation, and improve several previous theorems greatly. In addition, we also deduce a uniqueness result for an entire function f(z) that shares a set with its shift [Formula: see text], which is a generalization of a result ...
Cuiping Li, Junfeng Xu, Feng Lü
openaire +3 more sources
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 +2 more
openaire +3 more sources
, 2008 Following a solution generating technique introduced recently by one of us, we transform the Einstein static Universe into a two - fold infinity class of physically acceptable exact perfect fluid solutions of Einstein's equations.
Elahi, Pascal J. +2 more
core +1 more source
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 +3 more sources
The unpredictably eruptive dynamics of spruce budworm populations in eastern Canada
Population Ecology, EarlyView.We examine historical population data for spruce budworm from several locations through the period 1930–1997, and use density‐dependent recruitment curves to test whether the pattern of population growth over time is more consistent with Royama's (1984; Ecological Monographs 54:429–462) linear R(t) model of harmonic oscillation at Green River New ...
Barry J. Cooke, Jacques Régnière
wiley +1 more source
A new Algorithm Based on Factorization for Heterogeneous Domain Decomposition [PDF]
, 2014 Often computational models are too expensive to be solved in the entire domain of simulation, and a cheaper model would suffice away from the main zone of interest.
Gander, Martin J. +2 more
core +1 more source
Network topology drives population temporal variability in experimental habitat networks
Population Ecology, EarlyView.Habitat patches connected by dispersal pathways form habitat networks. We explored how network topology affects population outcomes in laboratory experiments using a model species (Daphnia carinata). Central habitat nodes in complex lattice networks exhibited lower temporal variability in population sizes, suggesting they support more stable ...
Yiwen Xu +3 more
wiley +1 more source