Tony L. Perkins

activity

20102014

most citedThe Dirichlet Problem for Harmonic Functions on Compact Sets

3 citations · 5 across the 5 of their papers we have counts for

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math.CA2010

Green functions, the fine topology and restoring coverings

Tony L. Perkins

There are several equivalent ways to define continuous harmonic functions $H (K)$ on a compact set $K$ in $R^{n}$ . One may let $H (K)$ be the unform closures of all functions i…

math.CA2010★ 3 cited

The Dirichlet Problem for Harmonic Functions on Compact Sets

Tony Perkins

For any compact set $K \subset R^{n}$ we develop the theory of Jensen measures and subharmonic peak points, which form the set $O_{K}$ , to study the Dirichlet problem…