| 自然增长条件下障碍问题弱解的正则性 |
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| 引用本文： | 赵崧,康迪,徐秀娟.自然增长条件下障碍问题弱解的正则性[J].山东大学学报(理学版),2023,58(4):104-110. |
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| 作者姓名： | 赵崧 康迪 徐秀娟 |
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| 作者单位： | 华北理工大学理学院, 河北 唐山 063210 |
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| 基金项目： | 河北省自然科学基金资助项目(A2019209533) |
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| 摘 要： | 研究自然增长条件下非齐次A-调和方程障碍问题弱解的正则性。首先通过证明方程障碍问题弱解的Caccippoli不等式，得到其逆H9lder不等式，其次利用Gehring引理得到其局部可积性，最后利用本质零点及相关性质得到了其零点性质。
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| 关 键 词： | 自然增长条件 障碍问题 弱解 零点性质 局部可积性 |
Regularity of weak solutions for obstacle problems with natural growth |
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| ZHAO Song,KANG Di,XU Xiu-juan.Regularity of weak solutions for obstacle problems with natural growth[J].Journal of Shandong University,2023,58(4):104-110. |
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| Authors: | ZHAO Song KANG Di XU Xiu-juan |
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| Institution: | College of Science, North China University of Science and Technology, Tangshan 063210, Hebei, China |
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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. |
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| Keywords: | natural growth obstacle problem weak solution zero property local integrability |
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