6533b821fe1ef96bd127b620

RESEARCH PRODUCT

Mappings of Finite Distortion:¶Discreteness and Openness

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We establish a sharp integrability condition on the partial derivatives of a mapping with L p -integrable distortion for some p>n− 1 to guarantee discreteness and openness. We also show that a mapping with exponentially integrable distortion and integrable Jacobian determinant is either constant or both discrete and open. We give an example demonstrating the preciseness of our criterion.