摘要
调和逼近引理在偏微分方程组弱解的正则性研究中起着重要作用.本文将经典欧氏空间的p-调和逼近理论发展至非交换Heisenberg群上,为研究Heisenberg群上的次椭圆p-Laplace方程组弱解的最优部分H9lder正则性提供理论基础.
The harmonic approximation theory plays an important role in the study of regularity of weak solutions of PDEs.In this paper,the p-harmonic approximation theory of classical Euclidean spaces is developed to the non-commutative Heisenberg groups,which provides a theoretical basis for further studying the optimal partial H lder regularity of the weak solution for sub-elliptic p-Laplacian systems in the Heisenberg groups.
作者
胡紫婷
王家林
HU Ziting;WANG Jialin(School of Mathematics and Computer Science,Gannan Normal University,Ganzhou 341000,China)
出处
《赣南师范大学学报》
2023年第6期17-24,共8页
Journal of Gannan Normal University
基金
国家自然科学基金资助项目(12061010)
江西省教育厅科技计划项目(GJJ2201204)
赣南师范大学研究生创新基金项目(YCX23A028)。