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Convergence of gradient of solutions to elliptic equations with nonuniform growth

董增福 付永强

哈尔滨工业大学学报(英文版)2002,Vol.9Issue(4):351-353,3.
哈尔滨工业大学学报(英文版)2002,Vol.9Issue(4):351-353,3.

Convergence of gradient of solutions to elliptic equations with nonuniform growth

Convergence of gradient of solutions to elliptic equations with nonuniform growth

董增福 1付永强1

作者信息

  • 1. Dept. of Mathematics, Harbin Institute of Technology, Harbin 150001, China
  • 折叠

摘要

Abstract

In this paper, we study elliptic partial differential equations with nonuniform growth, and obtain thestrong convergence of the gradient of truncations of solutions and the strong convergence of the gradient of solu-tions in the setting of some Musielak-Orlicz spaces. Our results are generalization of the corresponding resultsfor elliptic partial differential equations with power growth.

关键词

gradient/convergence/elliptic equation

Key words

gradient/convergence/elliptic equation

分类

数理科学

引用本文复制引用

董增福,付永强..Convergence of gradient of solutions to elliptic equations with nonuniform growth[J].哈尔滨工业大学学报(英文版),2002,9(4):351-353,3.

基金项目

Sponsored by Scientific Research Foundation of Harbin Institute of Technology. ()

哈尔滨工业大学学报(英文版)

1005-9113

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