@article{zu213947, number = {2}, title = {On equicontinuity of solutions to the Beltrami equations}, author = {?. ?. Sevost?yanov and R. R. Sal?mov and ?atyana Loma?o}, year = {2010}, pages = {263--274}, journal = {Annals of the University of Bucharest}, keywords = {Beltrami equations, equicontinuity, normality, lower and ring Q\{homeomorphisms.}, url = {http://eprints.zu.edu.ua/13947/}, abstract = {It is shown that each homeomorphic W1;1 loc solution to the Beltrami equation @f = ? @f is the so-called ring Q\{homeomorphism with Q(z) = K?(z) where K?(z) is the dilatation quotient of this equation. On this base, it is stated equicontinuity and normality of families of such solu- tions under the conditions that K?(z) has a majorant of ?nite mean oscil- lRation, singularities of logarithmic type or integral constraints of the type ?(K?(z)) dx dy {\ensuremath{<}} 1 in a domain D ? C: The found conditions on the function ? are not only su?cient but also necessary for equicontinuity and normality of the corresponding families of solutions to the Beltrami equa- tion.} }