On a Conjecture Of
نویسندگان
چکیده
— In 1964 J. Serrin proposed the following conjecture. Let u ∈ W1,1 loc (Ω) be a weak solution of the second order elliptic equation (1) below, in divergence form, with Hölder continuous coefficients aij (x); then u is a “classical” solution. We announce a solution of this conjecture assuming only u ∈ BVloc(Ω) and Dini continuous coefficients.
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