Wiener Type Regularity of a Boundary Point for the 3D Lam, System

作者：Luo Guo^*; Maz'ya Vladimir G

来源：Potential Analysis, 2010, 32(2): 133-151.

DOI：10.1007/s11118-009-9147-3

• Weighted positivity
• 3D Lame system
• Wiener type regularity

In this paper, we study the 3D Lam, system and establish its weighted positive definiteness for a certain range of elastic constants. By modifying the general theory developed in Maz'ya (J Duke Math 115(3): 479-512, 2002), we then show, under the assumption of weighted positive definiteness, that the divergence of the classical Wiener integral for a boundary point guarantees the continuity of solutions to the Lam, system at this point.

• 出版日期2010-2