On Positive Radial Solutions for a Class of Elliptic Equations

A class of elliptic boundary value problem in an exterior domain is considered under some conditions concerning the first eigenvalue of the relevant linear operator, where the variables of nonlinear term f(s, u) need not to be separated. Several new theorems on the existence and multiplicity of posi...

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Detalles Bibliográficos
Autores principales: Wu, Ying, Han, Guodong
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3958807/
https://www.ncbi.nlm.nih.gov/pubmed/24723810
http://dx.doi.org/10.1155/2014/507312
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author Wu, Ying
Han, Guodong
author_facet Wu, Ying
Han, Guodong
author_sort Wu, Ying
collection PubMed
description A class of elliptic boundary value problem in an exterior domain is considered under some conditions concerning the first eigenvalue of the relevant linear operator, where the variables of nonlinear term f(s, u) need not to be separated. Several new theorems on the existence and multiplicity of positive radial solutions are obtained by means of fixed point index theory. Our conclusions are essential improvements of the results in Lan and Webb (1998), Lee (1997), Mao and Xue (2002), Stańczy (2000), and Han and Wang (2006).
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spelling pubmed-39588072014-04-10 On Positive Radial Solutions for a Class of Elliptic Equations Wu, Ying Han, Guodong ScientificWorldJournal Research Article A class of elliptic boundary value problem in an exterior domain is considered under some conditions concerning the first eigenvalue of the relevant linear operator, where the variables of nonlinear term f(s, u) need not to be separated. Several new theorems on the existence and multiplicity of positive radial solutions are obtained by means of fixed point index theory. Our conclusions are essential improvements of the results in Lan and Webb (1998), Lee (1997), Mao and Xue (2002), Stańczy (2000), and Han and Wang (2006). Hindawi Publishing Corporation 2014-02-25 /pmc/articles/PMC3958807/ /pubmed/24723810 http://dx.doi.org/10.1155/2014/507312 Text en Copyright © 2014 Y. Wu and G. Han. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Wu, Ying
Han, Guodong
On Positive Radial Solutions for a Class of Elliptic Equations
title On Positive Radial Solutions for a Class of Elliptic Equations
title_full On Positive Radial Solutions for a Class of Elliptic Equations
title_fullStr On Positive Radial Solutions for a Class of Elliptic Equations
title_full_unstemmed On Positive Radial Solutions for a Class of Elliptic Equations
title_short On Positive Radial Solutions for a Class of Elliptic Equations
title_sort on positive radial solutions for a class of elliptic equations
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3958807/
https://www.ncbi.nlm.nih.gov/pubmed/24723810
http://dx.doi.org/10.1155/2014/507312
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