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.
@article{bwmeta1.element.doi-10_1515_aupcsm-2016-0003, author = {Damian Wi\'sniewski and Mariusz Bodzioch}, title = {An integro-differential inequality related to the smallest positive eigenvalue ofp(x)-Laplacian Dirichlet problem}, journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica}, volume = {15}, year = {2016}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_aupcsm-2016-0003} }
Damian Wiśniewski; Mariusz Bodzioch. An integro-differential inequality related to the smallest positive eigenvalue ofp(x)-Laplacian Dirichlet problem. Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica, Tome 15 (2016) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_aupcsm-2016-0003/