Abstract
We prove, following DiBenedetto’s intrinsic scaling method, that a local bounded weak solution of the equation
in Ω, is locally Hölder continuous, where f is a given bounded function and p i ≥ 2, for any i = 1, . . . , N.
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Research supported by CMUC/FCT and by ERC Grant 207573 “Vectorial problems”.
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Di Castro, A. Local Hölder continuity of weak solutions for an anisotropic elliptic equation. Nonlinear Differ. Equ. Appl. 20, 463–486 (2013). https://doi.org/10.1007/s00030-012-0160-7
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DOI: https://doi.org/10.1007/s00030-012-0160-7