Sublinear eigenvalue problems with singular weights related to the critical Hardy inequality

In this article, we consider a weighted sublinear eigenvalue problem related to an improved critical Hardy inequality. We discuss to what extent the weights can be singular for the existence of weak solutions. Also we study the asymptotic behavior of the first eigenvalues as a parameter involved...

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Bibliographic Details
Main Authors:	Megumi Sano, Futoshi Takahashi
Format:	Article
Language:	English
Published:	Texas State University 2016-08-01
Series:	Electronic Journal of Differential Equations
Subjects:	Critical Hardy inequality sublinear reaction term eigenvalue problem
Online Access:	http://ejde.math.txstate.edu/Volumes/2016/212/abstr.html

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spelling	doaj-5312378e2c244c39a9762d42c0be26fa2020-11-24T23:56:37ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912016-08-012016212,112Sublinear eigenvalue problems with singular weights related to the critical Hardy inequalityMegumi Sano0Futoshi Takahashi1 Osaka City Univ., Japan Osaka City Univ., Japan In this article, we consider a weighted sublinear eigenvalue problem related to an improved critical Hardy inequality. We discuss to what extent the weights can be singular for the existence of weak solutions. Also we study the asymptotic behavior of the first eigenvalues as a parameter involved varies.http://ejde.math.txstate.edu/Volumes/2016/212/abstr.htmlCritical Hardy inequalitysublinear reaction termeigenvalue problem
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Megumi Sano Futoshi Takahashi
spellingShingle	Megumi Sano Futoshi Takahashi Sublinear eigenvalue problems with singular weights related to the critical Hardy inequality Electronic Journal of Differential Equations Critical Hardy inequality sublinear reaction term eigenvalue problem
author_facet	Megumi Sano Futoshi Takahashi
author_sort	Megumi Sano
title	Sublinear eigenvalue problems with singular weights related to the critical Hardy inequality
title_short	Sublinear eigenvalue problems with singular weights related to the critical Hardy inequality
title_full	Sublinear eigenvalue problems with singular weights related to the critical Hardy inequality
title_fullStr	Sublinear eigenvalue problems with singular weights related to the critical Hardy inequality
title_full_unstemmed	Sublinear eigenvalue problems with singular weights related to the critical Hardy inequality
title_sort	sublinear eigenvalue problems with singular weights related to the critical hardy inequality
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2016-08-01
description	In this article, we consider a weighted sublinear eigenvalue problem related to an improved critical Hardy inequality. We discuss to what extent the weights can be singular for the existence of weak solutions. Also we study the asymptotic behavior of the first eigenvalues as a parameter involved varies.
topic	Critical Hardy inequality sublinear reaction term eigenvalue problem
url	http://ejde.math.txstate.edu/Volumes/2016/212/abstr.html
work_keys_str_mv	AT megumisano sublineareigenvalueproblemswithsingularweightsrelatedtothecriticalhardyinequality AT futoshitakahashi sublineareigenvalueproblemswithsingularweightsrelatedtothecriticalhardyinequality
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Sublinear eigenvalue problems with singular weights related to the critical Hardy inequality

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