摘要
给出了一类具有连续p(x)-增长条件的积分泛函,通过引理1、Sobolev-Poincaré不等式及反向H lder不等式证明了满足一定条件的此类积分泛函的球面Q-极小的局部高阶可积性。
In this paper, we give a class of integral functionals with continuous p（x）-growth conditions. In terms of Sobolev -Poincare and reverse Holder inequalities we proved the higher integrability for the gradients of spherical Q-mininiizers of the integral functional with controlled conditions using lemma L.
出处
《山东科技大学学报（自然科学版）》
CAS
2008年第4期78-81,共4页
Journal of Shandong University of Science and Technology(Natural Science)
关键词
积分泛函
球面Q-极小
局部高阶可积性
integral functionals
spherical Q-minimizers
higher integrability for the gradients
