TY  - JOUR
ID  - zu213993
UR  - http://eprints.zu.edu.ua/13993/
IS  - 9
A1  - Sevost?yanov, ?. ?.
Y1  - 2011///
N2  - Abstract?We consider the solvability problem for the equation fz = ?(z, f(z))fz, where the
function ?(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 ?(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 .
JF  - Mathematical Notes
VL  - 90
KW  - quasilinear Beltrami-type equation
KW  -  Sobolev class
KW  -  homeomorphic solution
KW  -  homeomorphism
KW  - 
Carathe´ odory condition
KW  -  function of bounded mean oscillation.
SN  - 0001-4346
TI  - On Quasilinear Beltrami-Type Equations
with Degeneration
SP  - 431
AV  - public
EP  - 438
ER  -