Let X be an open set in R
n
and suppose that f : X → R
n
is
a Sobolev homeomorphism. We study the regularity of f
−1 under the
L
p
-integrability assumption on the distortion function Kf . First, if X is
the unit ...
In this paper, we study the second-order Sobolev regularity of solutions to the parabolic p-Laplace equation. For any p-parabolic function u, we show that D(|Du|p−2+s2Du) exists as a function and belongs to L2loc with s>−1 ...
Leonov, G. A.; Kuznetsov, Nikolay; Korzhemanova, N. A.; Kusakin, D. V.(Elsevier B.V.; Peking University, 2016)
The exact Lyapunov dimension formula for the Lorenz system for a positive measure set of parameters, including classical values, was analytically obtained first by G.A. Leonov in 2002. Leonov used the construction technique ...
Currently it is being actively discussed the question of the equivalence of various Lorenzlike
systems and the possibility of universal consideration of their behavior (Algaba et al.,
2013a,b, 2014b,c; Chen, 2013; Chen ...
