The regularity problem for elliptic operators with boundary data in Hardy–Sobolev space HS

Martin Dindoš, Josef Kirsch
2012 Mathematical Research Letters  
Let Ω be a Lipschitz domain in R n , n ≥ 3, and L = divA∇ be a second order elliptic operator in divergence form. We will establish that the solvability of the Dirichlet regularity problem for boundary data in Hardy-Sobolev space HS 1 is equivalent to the solvability of the Dirichlet regularity problem for boundary data in H
doi:10.4310/mrl.2012.v19.n3.a14 fatcat:srhr2vuolfc3jdcdebuuzl7npi