JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2026, Vol. 61 ›› Issue (7): 123-133.doi: 10.6040/j.issn.1671-9352.0.2024.376

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Global regularity of weak solutions to multi-phase elliptic problems

MA Menglu, YAO Jiahui, TONG Yuxia*   

  1. College of Science, North China University of Science and Technology, Tangshan 063210, Hebei, China
  • Published:2026-07-01

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Abstract: Global regularity of weak solutions to the nonlinear elliptic equations corresponding to multi-phase functionals is considered. By using the Young inequality, the Hölder inequality, the Sobolev-Poincaré inequality and the Gehring lemma, the integrable exponent is improved. The global regularity of the weak solution of the equation is obtained.

Key words: regularity, elliptic problem, weak solution, multi-phase

CLC Number: 

  • O175
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