On the existence of multiple positive entire solutions for a class of quasilinear elliptic equations
type: Item
instance of: scholarly article
title: On the existence of multiple positive entire solutions for a class of quasilinear elliptic equations
zbMATH Open document ID: 1143.35328
DOI: 10.1155/IJMMS/2006/34538
author: Yang Zuodong
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2007-06-14T00:00:00Z
full work available at URL: https://eudml.org/doc/54425
review text: Summary: Our goal is to establish the theorems of existence and multiple of positive entire solutions for a class of quasilinear elliptic equations in \(\mathbb R^{N}\) with the Schauder-Tikhonov fixed point theorem as the principal tool. In many articles, the theorems of existence and multiple of positive entire solutions for a class of semilinear elliptic equations are established. The results of the semilinear equations are extended to the quasilinear ones and the results of semilinear equations are developed.
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35D05
zbMATH DE Number: 5164262
zbMATH Keywords: quasilinear elliptic equations
zbMATH Keywords: positive solutions
zbMATH Keywords: existence
zbMATH Keywords: Shauder-Tikhonov
zbMATH Keywords: fixed point theorem
MaRDI profile type: Publication
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OpenAlex ID: W2000832238
description: scientific article; zbMATH DE number 5164262