Analytic and geometric function theoryAdvanced Harmonic Analysis ResearchNonlinear Partial Differential Equations
E. Sevost'yanov, N. Ilkevych, V. Desyatka
2026.5.24Carpathian Mathematical Publications
Abstract
We study mappings of the Sobolev classes defined in some plane domain. We have obtained estimates of the distortion of the distance under these mappings at the boundary. In particular, we have proved that if the integral averages of the characteristic of mappings are finite, then these mappings are Hölder continuous.
Citation format
SEVOST'YANOV, E.; ILKEVYCH, N.; DESYATKA, V. On boundary distortion estimates of plane sobolev mappings. Carpathian Mathematical Publications, 2026, 18(1): 117–134.