JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2023, Vol. 58 ›› Issue (4): 104-110.doi: 10.6040/j.issn.1671-9352.0.2022.268

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Regularity of weak solutions for obstacle problems with natural growth

ZHAO Song, KANG Di, XU Xiu-juan*   

  1. College of Science, North China University of Science and Technology, Tangshan 063210, Hebei, China
  • Published:2023-03-27

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Abstract: The regularity of weak solutions of obstacle problem for nonhomogeneous A-harmonic equations on natural growth are studied. By proving the Caccippoli inequality of weak solution for the obstacle problem of this equation, inverse Hölder inequality is deduced and Gehring lemma is used to prove its local integrability. Finally, the properties at zero are deduced by using the essential zero properties.

Key words: natural growth, obstacle problem, weak solution, zero property, local integrability

CLC Number: 

  • O175.25
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