relation: http://eprints.zu.edu.ua/13993/
title: On Quasilinear Beltrami-Type Equations  with Degeneration
creator: Sevost’yanov, Е. А.
subject: Математичний аналіз
description: Abstract—We consider the solvability problem for the equation fz = ν(z, f(z))fz, where the  function ν(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 ν(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 .
date: 2011
type: Стаття
type: PeerReviewed
format: text
language: uk
identifier: http://eprints.zu.edu.ua/13993/1/MTN431.pdf
identifier:   Sevost’yanov, Е. А.  (2011) On Quasilinear Beltrami-Type Equations with Degeneration.  Mathematical Notes, 90 (9).  с. 431-438.  ISSN 0001-4346     
language: english