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math.AP2021
Improved Sobolev regularity for linear nonlocal equations with VMO coefficients
Simon Nowak
This work is concerned with both higher integrability and differentiability for linear nonlocal equations with possibly very irregular coefficients of VMO-type or even coefficients…
math.AP2021
Regularity theory for nonlocal equations with VMO coefficients
Simon Nowak
We prove higher regularity for nonlinear nonlocal equations with possibly discontinuous coefficients of VMO-type in fractional Sobolev spaces. While for corresponding local ellipti…