Brezis–Gallouët inequality
= Brezis–Gallouët inequality
{wiki=Brezis–Gallouët_inequality}
The Brezis–Gallouët inequality is an important result in functional analysis and partial differential equations, particularly in the context of Sobolev spaces. It provides a bound for a certain type of functional involving the fractional Sobolev norms. Specifically, the inequality can be stated as follows: Let \\( n \\geq 1 \\) and \\( p \\in (1, n) \\).