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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.MG2025
On infinity thick quasiconvexity and applications
Miguel García-Bravo, Toni Ikonen, Zheng Zhu
We investigate geometric properties of a metric measure space where every function in the Newton--Sobolev space has a Lipschitz representative. We prove that when…
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^{…