<p>This paper presents the Campanato type estimates for the weak solutions of a class of irregular obstacle problems with the multi-phase operators in divergence form. The study establishes the regularity of the gradient of weak solutions through comparison estimates, demonstrating its dependence on the regularity of both the gradient of the given obstacle function and the associated non-homogeneous term in divergence form. Furthermore, it is an extension of the existing conclusions.</p>

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

Campanato Type Estimates for the Multi-phase Problems with Irregular Obstacles

  • Bin Ge,
  • Beilei Zhang

摘要

This paper presents the Campanato type estimates for the weak solutions of a class of irregular obstacle problems with the multi-phase operators in divergence form. The study establishes the regularity of the gradient of weak solutions through comparison estimates, demonstrating its dependence on the regularity of both the gradient of the given obstacle function and the associated non-homogeneous term in divergence form. Furthermore, it is an extension of the existing conclusions.