Abstract:
Open discrete annular $Q$-mappings with respect to the $p$-modulus in $\mathbb R^n$, $n\ge 2$, are considered in this paper. It is established that such mappings are finite Lipschitz for $n-1<p<n$ if the integral mean value of the function $Q(x)$ over all infinitesimal balls $B(x_0,\varepsilon)$ is finite everywhere.
Keywords:open discrete annular $Q$-mapping, $p$-modulus of a family of curves, finite Lipschitz mapping, Lebesgue measure, homeomorphism, condenser.
Fulltext:
PDF file (502 kB)
