The Sobolev conjugate of p for , where n is space dimensionality, is
Overview
The Sobolev conjugate of p for , where n is space dimensionality, is
This is an important parameter in the Sobolev inequalities.
Motivation
A question arises whether u from the Sobolev space belongs to for some q > p. More specifically, when does control ? It is easy to check that the following inequality
