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Dirichlet boundary value problem with variable growth

董增福 付永强

哈尔滨工业大学学报(英文版)2004,Vol.11Issue(3):262-266,5.
哈尔滨工业大学学报(英文版)2004,Vol.11Issue(3):262-266,5.

Dirichlet boundary value problem with variable growth

Dirichlet boundary value problem with variable 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 higher order elliptic partial differential equations with variable growth, and obtain the existence of solutions in the setting of W'n,p(χ) spaces by means of an abstract result for variational inequalities obtained by Gossez and Mustonen. Our result generalizes the corresponding one of Kovacik and Rakosntk.

关键词

boundary value problem/elliptic partial differential equation/variable growth

Key words

boundary value problem/elliptic partial differential equation/variable growth

分类

数理科学

引用本文复制引用

董增福,付永强..Dirichlet boundary value problem with variable growth[J].哈尔滨工业大学学报(英文版),2004,11(3):262-266,5.

基金项目

Sponsored by the Scientific Research Foundation of Harbin Institute of Technology( Grant No. HIT. 202.52 ). ( Grant No. HIT. 202.52 )

哈尔滨工业大学学报(英文版)

1005-9113

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