Advanced Search

Match of the following rules

Add Sub-clause

Add Another Rule

Contains the following math formula (red border means the formula is incomplete)

Formula preview

The search session has expired. Please query the service again.

Currently displaying 1 – 1 of 1

Order by Relevance | Title | Year of publication

Inequalities for surface integrals of non-negative subharmonic functions

M. P. Aldred; David H. Armitage — 1998

Commentationes Mathematicae Universitatis Carolinae

Let $ℋ$ denote the class of positive harmonic functions on a bounded domain $Ω$ in $ℝ^{N}$ . Let $S$ be a sphere contained in $\bar{Ω}$ , and let $σ$ denote the $(N - 1)$ -dimensional measure. We give a condition on $Ω$ which guarantees that there exists a constant $K$ , depending only on $Ω$ and $S$ , such that $\int_{S} u d σ \leq K \int_{\partial Ω} u d σ$ for every $u \in ℋ \cap C (\bar{Ω})$ . If this inequality holds for every such $u$ , then it also holds for a large class of non-negative subharmonic functions. For certain types of domains explicit values for $K$ are given. In particular the classical value...

Page 1

Download Results (CSV)