An integro-differential inequality related to the smallest positive eigenvalue of p(x)-Laplacian Dirichlet problem

We consider the eigenvalue problem for the p(x)-Laplace - Beltrami operator on the unit sphere. We prove an integro - differential inequality related to the smallest positive eigenvalue of this problem.

Bibliographic Details
Main Authors:	Damian Wiśniewski, Mariusz Bodzioch
Format:	Article
Language:	deu
Published:	Wydawnictwo Naukowe Uniwersytetu Pedagogicznego 2016-07-01
Series:	Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica
Subjects:	p(x)-Laplacian eigenvalue variable exponent Sobolev space Dirichlet problem unbounded domain
Online Access:	http://studmath.up.krakow.pl/index.php/studmath/article/view/218

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spelling	doaj-0d0728a2003b4a2c87ee1e1680c4b7bb2020-11-25T01:33:07ZdeuWydawnictwo Naukowe Uniwersytetu PedagogicznegoAnnales Universitatis Paedagogicae Cracoviensis: Studia Mathematica 2081-545X2300-133X2016-07-0115273610.1515/aupcsm-2016-0003An integro-differential inequality related to the smallest positive eigenvalue of p(x)-Laplacian Dirichlet problemDamian Wiśniewski0Mariusz Bodzioch1Wydział Matematyki i Informatyki, Uniwersytet Warmińsko - Mazurski w Olsztynie Poland Wydział Matematyki i Informatyki, Uniwersytet Warmińsko - Mazurski w Olsztynie Poland We consider the eigenvalue problem for the p(x)-Laplace - Beltrami operator on the unit sphere. We prove an integro - differential inequality related to the smallest positive eigenvalue of this problem. http://studmath.up.krakow.pl/index.php/studmath/article/view/218p(x)-Laplacianeigenvaluevariable exponent Sobolev spaceDirichlet problemunbounded domain
collection	DOAJ
language	deu
format	Article
sources	DOAJ
author	Damian Wiśniewski Mariusz Bodzioch
spellingShingle	Damian Wiśniewski Mariusz Bodzioch An integro-differential inequality related to the smallest positive eigenvalue of p(x)-Laplacian Dirichlet problem Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica p(x)-Laplacian eigenvalue variable exponent Sobolev space Dirichlet problem unbounded domain
author_facet	Damian Wiśniewski Mariusz Bodzioch
author_sort	Damian Wiśniewski
title	An integro-differential inequality related to the smallest positive eigenvalue of p(x)-Laplacian Dirichlet problem
title_short	An integro-differential inequality related to the smallest positive eigenvalue of p(x)-Laplacian Dirichlet problem
title_full	An integro-differential inequality related to the smallest positive eigenvalue of p(x)-Laplacian Dirichlet problem
title_fullStr	An integro-differential inequality related to the smallest positive eigenvalue of p(x)-Laplacian Dirichlet problem
title_full_unstemmed	An integro-differential inequality related to the smallest positive eigenvalue of p(x)-Laplacian Dirichlet problem
title_sort	integro-differential inequality related to the smallest positive eigenvalue of p(x)-laplacian dirichlet problem
publisher	Wydawnictwo Naukowe Uniwersytetu Pedagogicznego
series	Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica
issn	2081-545X 2300-133X
publishDate	2016-07-01
description	We consider the eigenvalue problem for the p(x)-Laplace - Beltrami operator on the unit sphere. We prove an integro - differential inequality related to the smallest positive eigenvalue of this problem.
topic	p(x)-Laplacian eigenvalue variable exponent Sobolev space Dirichlet problem unbounded domain
url	http://studmath.up.krakow.pl/index.php/studmath/article/view/218
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An integro-differential inequality related to the smallest positive eigenvalue of p(x)-Laplacian Dirichlet problem

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