Abstract
We show that the solutionu of the equation
is locally β-Hölder continuous provided that the measure μ satisfies the condition μ(B(x,r))⩽Mr n − p + α(p − 1) for some α>β. A corresponding result for more general operators is also proven.
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Kilpeläinen, T. Hölder continuity of solutions to quasilinear elliptic equations involving measures. Potential Anal 3, 265–272 (1994). https://doi.org/10.1007/BF01468246
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DOI: https://doi.org/10.1007/BF01468246