Solutions with radial symmetry for a semilinear elliptic system with weights
type: Item
instance of: scholarly article
title: Solutions with radial symmetry for a semilinear elliptic system with weights
zbMATH Open document ID: 1386.35119
author: Dragos-Patru Covei
published in: Applied Mathematics Letters
publication date: 2017-11-22T00:00:00Z
review text: The author considers the semilinear elliptic system \[ \begin{cases} \Delta u = p_1(|x|)f(u,v), & x \in\mathbb R^N, \\ \Delta v = p_2(|x|)g(u), & x \in\mathbb R^N \end{cases}, \] where \(N \geq 3\), \(f\in C([0,\infty)\times[0,\infty))\), \(g \in C[0,\infty)\), \(f(s,t)\geq 0\) for \(s\geq 0\) and \(t\geq 0\), and \(g(s)>0\) for \(s>0\). The existence of at least one positive solution is obtained. The asymptotic behavior of positive solutions is also studied.
Mathematics Subject Classification ID: 35J91
zbMATH DE Number: 6811195
zbMATH Keywords: semilinear elliptic systems
zbMATH Keywords: Laplace operator
reviewed by: Satoshi Tanaka
MaRDI profile type: Publication
full work available at URL: j.aml.2017.09.003
OpenAlex ID: W2754287829
cites work: Existence of blow-up solutions for a class of elliptic systems.
cites work: Decay, symmetry and existence of solutions of semilinear elliptic systems
cites work: A remark on uniqueness of large solutions for elliptic systems of competitive type
cites work: Large solutions for an elliptic system of quasilinear equations
cites work: Large solutions to semi-linear elliptic systems with variable exponents
cites work: Classification of radial solutions for semilinear elliptic systems with nonlinear gradient terms
cites work: A remark on the existence of entire positive solutions for a class of semilinear elliptic systems
cites work: Existence of entire large positive solutions of semilinear elliptic systems
cites work: Existence and non-existence of blow-up solutions for a non-autonomous problem with indefinite and gradient terms
cites work: A remark on the existence of entire large and bounded solutions to a \((k_1,k_2)\)-Hessian system with gradient term
cites work: Existence of positive entire radial solutions to a \((k_1,k_2)\)-Hessian systems with convection terms
cites work: An elliptic system with bifurcation parameters on the boundary conditions
cites work: Particle Physics and the Schrödinger Equation
cites work: Q5523982
cites work: An existence result on positive solutions for a class of semilinear elliptic systems
cites work: On positive entire solutions of a class of second order semilinear elliptic systems
cites work: Positive radial solutions for a quasilinear system
cites work: Infinite many blow-up solutions for a Schrödinger quasilinear elliptic problem with a non-square diffusion term
cites work: A priori estimates for positive solutions for a class of semilinear elliptic systems
cites work: A necessary and sufficient condition for the existence of large solutions to sublinear elliptic systems
cites work: Existence of entire positive \(k\)-convex radial solutions to Hessian equations and systems with weights
cites work: Q3272715
cites work: Q4000065
DOI: 10.1016/J.AML.2017.09.003
description: scientific article; zbMATH DE number 6811195