Constructs α-Hölder continuous solutions with α = exp(-c_n K) for uniformly elliptic equations with ellipticity ratio K in d ≥ 3, proving the sharpness of the Bombieri-Giusti exponent.
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On the sharp H\"older exponent in the De Giorgi--Nash--Moser theory
Constructs α-Hölder continuous solutions with α = exp(-c_n K) for uniformly elliptic equations with ellipticity ratio K in d ≥ 3, proving the sharpness of the Bombieri-Giusti exponent.