An integro-differential inequality related to the smallest positive eigenvalue of p(x)-Laplacian Dirichlet problem
Damian Wiśniewski, Mariusz Bodzioch · Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica · 2016
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.