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

Damian Wiśniewski, and Mariusz Bodzioch. "An integro-differential inequality related to the smallest positive eigenvalue ofp(x)-Laplacian Dirichlet problem." Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 15 (2016): 27-36. <http://eudml.org/doc/287163>.

@article{DamianWiśniewski2016,
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.},
author = {Damian Wiśniewski, Mariusz Bodzioch},
journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica},
keywords = {p(x)-Laplacian; eigenvalue; variable exponent Sobolev space; Dirichlet problem; unbounded domain; -Laplacian},
language = {eng},
pages = {27-36},
title = {An integro-differential inequality related to the smallest positive eigenvalue ofp(x)-Laplacian Dirichlet problem},
url = {http://eudml.org/doc/287163},
volume = {15},
year = {2016},
}

TY - JOUR
AU - Damian Wiśniewski
AU - Mariusz Bodzioch
TI - An integro-differential inequality related to the smallest positive eigenvalue ofp(x)-Laplacian Dirichlet problem
JO - Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
PY - 2016
VL - 15
SP - 27
EP - 36
AB - 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.
LA - eng
KW - p(x)-Laplacian; eigenvalue; variable exponent Sobolev space; Dirichlet problem; unbounded domain; -Laplacian
UR - http://eudml.org/doc/287163
ER -