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On the Regularity of Solutions to an Adjoint Elliptic Equation with Partially VMO Coefficients

On the Regularity of Solutions to an Adjoint Elliptic Equation with Partially VMO Coefficients

We establish, in dimension two, a regularity result for nonnegative solutions to an adjoint elliptic equation, generalizing a previous result of Escauriaza (1994). We consider elliptic equations with coefficients which are measurable with respect to one variable and VMO with respect to the other.