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<p>This paper deals with local boundedness under growth conditions with variable exponent by using De Giorgi’s iteration method. As applications, local boundedness for local minimizers of a class of convex integral functional and weak solutions of an elliptic equation are obtained.</p>

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Local boundedness under growth conditions with variable exponent

  • 期刊论文

  • 发表日期：

    2026年3月9日

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  • FENG Zesheng,
  • ZHANG Aiping,
  • GAO Hongya

摘要

This paper deals with local boundedness under growth conditions with variable exponent by using De Giorgi’s iteration method. As applications, local boundedness for local minimizers of a class of convex integral functional and weak solutions of an elliptic equation are obtained.