<abstract xmlns="http://www.w3.org/1999/xhtml">

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

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

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

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.

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

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...

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

Published Online: Dec 23, 2016

Page range: 27 - 36

Received: Feb 29, 2016

Accepted: Jun 22, 2016

DOI: https://doi.org/10.1515/aupcsm-2016-0003

Keywords
()-Laplacian, eigenvalue, variable exponent Sobolev space, Dirichlet problem, unbounded domain

© 2016 Damian Wiśniewski et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.

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

Published Online: Dec 23, 2016

Page range: 27 - 36

Received: Feb 29, 2016

Accepted: Jun 22, 2016

DOI: https://doi.org/10.1515/aupcsm-2016-0003

Keywords()-Laplacian, eigenvalue, variable exponent Sobolev space, Dirichlet problem, unbounded domain

© 2016 Damian Wiśniewski et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.

Keywords
()-Laplacian, eigenvalue, variable exponent Sobolev space, Dirichlet problem, unbounded domain