Special Session 73: Nonlinear elliptic and parabolic equations and related functional inequalities
Fine bounds for best constants in subcritical Sobolev`s embeddings and applications
Daniele Cassani
University of Insubria & RISM Italy
Co-Author(s):
Abstract:
We establish upper and lower estimates for the optimal embedding constants related to the classical Sobolev embeddings. In particular we derive fine bounds for best constants of the fractional subcritical Sobolev embeddings
$$
W_{0}^{s,p}\left(\Omega\right)\hookrightarrow L^{q}\left(\Omega\right),
$$
where $N\geq1$, $0