Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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LIPSCHITZ REGULARITY OF M-HARMONIC FUNCTIONS

  • Youssfi, E.H. (C.M.I. Universite de Provence)
  • Published : 1997.11.01
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Abstract

In the paper we introduce Hausdorff measures which are suitable or the study of Lipschitz regularity of M-harmonic function in the unit ball B in $C^n$. For an M-harmonic function h which satisfies certain integrability conditions, we show that there is an open set $\Omega$, whose Hausdorff content is arbitrarily small, such that h is Lipschitz smooth on $B \backslash \Omega$.

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References

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