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I am curious about the Hölder exponent obtained by the De Giorgi-Nash-Moser theory, as a function of the ellipticity. More precisely: suppose $ u$ satisfies weakly $ $ D_i(a^{ij}D_ju)=f $ $ on the $ d$ -dimensional ball of radius $ R$ , with $ 0$ Dirichlet boundary conditions, with the matrix $ (a^{ij})_{i,j=1..d}$ bounded fromRead more