We shall study the behaviour of solutions of the equation
at a point . Indeed we establish a necessary condition to the regularity of a boundary point of the cylindrical domain extending the analogous result from paper  to the degenerate case. The degeneration is given by weights (depending on the space variable) from a suitable Muchenhoupt class. It is important to note that the coefficients of the equation depend on time too.
Cite this article
Salvatore Leonardi, I.I. Skrypnik, A Necessary Condition to Regularity of a Boundary Point for a Degenerate Quasilinear Parabolic Equation. Z. Anal. Anwend. 15 (1996), no. 1, pp. 159–180DOI 10.4171/ZAA/693