An integro-differential inequality related to the smallest positive eigenvalue of<i>p</i>(<i>x</i>)-Laplacian Dirichlet problem
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica, no. 15 (2016)
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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:
p(x)-Laplacian, eigenvalue, variable exponent Sobolev space, Dirichlet problem, unbounded domain
@article{AUPCM_2016_15_a1,
author = {Wi\'sniewski, Damian and Bodzioch, Mariusz},
title = {An integro-differential inequality related to the smallest positive eigenvalue {of<i>p</i>(<i>x</i>)-Laplacian} {Dirichlet} problem},
journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica},
year = {2016},
number = {15},
language = {en},
url = {http://geodesic.mathdoc.fr/item/AUPCM_2016_15_a1/}
}
TY - JOUR AU - Wiśniewski, Damian AU - Bodzioch, Mariusz TI - An integro-differential inequality related to the smallest positive eigenvalue of<i>p</i>(<i>x</i>)-Laplacian Dirichlet problem JO - Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica PY - 2016 IS - 15 UR - http://geodesic.mathdoc.fr/item/AUPCM_2016_15_a1/ LA - en ID - AUPCM_2016_15_a1 ER -
%0 Journal Article %A Wiśniewski, Damian %A Bodzioch, Mariusz %T An integro-differential inequality related to the smallest positive eigenvalue of<i>p</i>(<i>x</i>)-Laplacian Dirichlet problem %J Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica %D 2016 %N 15 %U http://geodesic.mathdoc.fr/item/AUPCM_2016_15_a1/ %G en %F AUPCM_2016_15_a1
Wiśniewski, Damian; Bodzioch, Mariusz. An integro-differential inequality related to the smallest positive eigenvalue of<i>p</i>(<i>x</i>)-Laplacian Dirichlet problem. Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica, no. 15 (2016). http://geodesic.mathdoc.fr/item/AUPCM_2016_15_a1/