@article{zu213993,
          volume = {90},
          number = {9},
           title = {On Quasilinear Beltrami-Type Equations
with Degeneration},
          author = {?. ?. Sevost?yanov},
            year = {2011},
           pages = {431--438},
         journal = {Mathematical Notes},
        keywords = {quasilinear Beltrami-type equation, Sobolev class, homeomorphic solution, homeomorphism,
Carathe? odory condition, function of bounded mean oscillation.},
             url = {http://eprints.zu.edu.ua/13993/},
        abstract = {Abstract{--}We consider the solvability problem for the equation fz = {\ensuremath{\nu}}(z, f(z))fz, where the
function {\ensuremath{\nu}}(z,w) of two variables may be close to unity. Such equations are called quasilinear
Beltrami-type equations with ellipticity degeneration. We prove that, under some rather general
conditions on {\ensuremath{\nu}}(z,w), the above equation has a regular homeomorphic solution in the Sobolev
classW1,1
loc . Moreover, such solutions f satisfy the inclusion f ?1 ? W1,2
loc .}
}