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ArticleOriginal scientific text

Title

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

Authors 1, 1

Affiliations

  1. Faculty of Mathematics and Computer Science, University of Warmia and Mazury in Olsztyn, Sloneczna 54, 10-710, Olsztyn,

Abstract

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

Keywords

ENG
p(x)-Laplacian, eigenvalue, variable exponent Sobolev space, Dirichlet problem, unbounded domain
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
2016/15
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Main language of publication
English
Received
2016-02-29
Accepted
2016-06-22
Published
2016-12-01
Published online
2016-12-23

DOI: 10.1515/aupcsm-2016-0003

Exact and natural sciences