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Two overdetermined problems for anisotropic $ p $-Laplacian

  • Received: 26 January 2021 Accepted: 23 June 2021 Published: 13 July 2021
  • In this paper, we consider two overdetermined problems for the anisotropic $ p $-Laplacian ($ 1 < p\leq n $) in the exterior domains and the bounded punctured domains, respectively, and prove the corresponding Wulff shape characterizations, by using Weinberger type approach.

    Citation: Chao Xia, Jiabin Yin. Two overdetermined problems for anisotropic $ p $-Laplacian[J]. Mathematics in Engineering, 2022, 4(2): 1-18. doi: 10.3934/mine.2022015

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  • In this paper, we consider two overdetermined problems for the anisotropic $ p $-Laplacian ($ 1 < p\leq n $) in the exterior domains and the bounded punctured domains, respectively, and prove the corresponding Wulff shape characterizations, by using Weinberger type approach.



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