Korevaar-Schoen $p$-energies and their $\Gamma$-limits on Cheeger spaces
Korevaar-Schoen $p$-energies and their $\Gamma$-limits on Cheeger spaces
This paper studies properties of $\Gamma$-limits of Korevaar-Schoen $p$-energies on a Cheeger space. When $p>1$, this kind of limit provides a natural $p$-energy form that can be used to define a $p$-Laplacian, and whose domain is the Newtonian Sobolev space $N^{1,p}$. When $p=1$, the limit can be interpreted as a …