Abstract:
Abstract
We study the variations on a strange semi-continuity
result and the function spaces between the bounded mean
oscillations with the multipliers of the critical Sobolev
spaces . We show the weak semi-continuity of the duality
product in Sobolev spaces . We consider some new
characterizations of Sobolev spaces and the degree-
independent
Sobolev
extensions
on
locally
uniform
domains with a quantitative Sobolev inequality in bounded
variation . We investigate the Sobolev inequalities with
remainder terms and refined convex Sobolev inequalities .
We discuss the Poincare Problem in -Sobolev spaces and
the shape of extremal functions for the Poincare-Sobolev-
. type inequalities in a ball
