Existence and uniqueness of positive solutions of semilinear elliptic systems
type: Item
instance of: scholarly article
title: Existence and uniqueness of positive solutions of semilinear elliptic systems
zbMATH Open document ID: 0940.35091
DOI: 10.1016/S0362-546X(98)00221-1
author: Robert Dalmasso
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2000-07-10T00:00:00Z
review text: The following system of nonlinear elliptic PDE's is studied: \(-\Delta u = g(v)\), \(-\Delta v = f(u)\) in an open subset of \({\mathbb R}^n\) with homogeneous boundary conditions. The functions \(f\) and \(g\) are assumed to be nonnegative, nondecreasing, with some Hölder regularity and superlinear or sublinear at \(0\) and infinity.
reviewed by: Antonio Bove
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 35J45
Mathematics Subject Classification ID: 35A05
zbMATH DE Number: 1389677
zbMATH Keywords: elliptic system
zbMATH Keywords: positive solution
zbMATH Keywords: superlinear and sublinear
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
MaRDI profile type: Publication
full work available at URL: s0362-546x(98)00221-1
OpenAlex ID: W2271445086
description: scientific article; zbMATH DE number 1389677