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Applications of p-harmonic transplantation for functional inequalities involving a Finsler norm

Author

Listed:
  • Sadaf Habibi

    (Osaka City University)

  • Futoshi Takahashi

    (Osaka City University)

Abstract

In this paper, we prove several inequalities such as Sobolev, Poincaré, logarithmic Sobolev, which involve a general norm with accurate information of extremals, and are valid for some symmetric functions. We use Ioku’s transformation, which is a special case of p-harmonic transplantation, between symmetric functions.

Suggested Citation

  • Sadaf Habibi & Futoshi Takahashi, 2022. "Applications of p-harmonic transplantation for functional inequalities involving a Finsler norm," Partial Differential Equations and Applications, Springer, vol. 3(3), pages 1-17, June.
    • Handle: RePEc:spr:pardea:v:3:y:2022:i:3:d:10.1007_s42985-022-00168-1
    DOI: 10.1007/s42985-022-00168-1
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    References listed on IDEAS

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    1. Anna Mercaldo & Megumi Sano & Futoshi Takahashi, 2020. "Finsler Hardy inequalities," Mathematische Nachrichten, Wiley Blackwell, vol. 293(12), pages 2370-2398, December.
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