Vladimir Maz'ya

Topics on Wiener Regularity for Elliptic Equations and Systems

This is a survey of results on Wiener's test for the regularity of a boundary point in various nonstandard situations. In particular, higher order elliptic operators, linear elasticity system, Zaremba boundary value problem for the Laplacian are treated.

Mathematics Subject Classification: 35J40, 31B15, 31B25

Key words and phrases: Wiener test, higher order elliptic equations, elasticity systems, Zaremba problem, weighted positivity, capacity