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math.FA2025
Global Integrability of the Reciprocal of Jacobians for Homeomorphisms of Finite Distortion
Anna Doležalová, Jani Onninen, Yizhe Zhu +1
For a homeomorphism with -integrable distortion, we obtain the optimal global degree of integrability for the reciprocal of its Jacobian determinant. As an application, we stren…
math.FA2025
Sobolev Versus Homogeneous Sobolev II
Pekka Koskela, Riddhi Mishra, Zheng Zhu
We study the relationship between Sobolev extension domains and homogeneous Sobolev extension domains. Precisely, for a certain range of exponents and , we construct a $(W^{…