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A quantitative second order estimate for (weighted) $p$-harmonic functions in manifolds under curvature-dimension condition

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اقرأ أكثر حفظ في قائمتي
  • معلومة اضافية
    • الموضوع:
      2021
    • Collection:
      Mathematics
    • نبذة مختصرة :
      We build up a quantitative second order Sobolev estimate of $ \ln w$ for positive $p$-harmonic functions $w$ in Riemannian manifolds under Ricci curvature bounded from blow and also for positive weighted $p$-harmonic functions $w$ in weighted manifolds under the Bakry-\'{E}mery curvature-dimension condition.
      Comment: Final version incorporated referee's comments
    • الرقم المعرف:
      edsarx.2112.07470