Global integrability and degenerate quasilinear elliptic equations
The author shows that all positive \(p\)-superharmonic functions (or, more generally, \(A\)-superharmonic functions) are integrable to some positive power \(\gamma = \gamma (n,p,\varepsilon)>0\) in each \(\varepsilon\)- Hölder domain in \(\mathbb{R}^ n\). The proof is a combination of known real variable results due to a variety of authors.
\(\varepsilon\)-Hölder domain in \(\mathbb{R}^ n\)
scientific article; zbMATH DE number 528677
scientific article