TY - GEN A1 - Druet, Pierre-Etienne T1 - Global Lipschitz continuity for elliptic transmission problems with a boundary intersecting interface N2 - We investigate the regularity of the weak solution to elliptic transmission problems that involve two layered anisotropic materials separated by a boundary intersecting interface. Under a compatibility condition for the angle of contact of the two surfaces and the boundary data, we prove the existence of square-integrable second derivatives, and the global Lipschitz continuity of the solution. We show that the second weak derivatives remain integrable to a certain power less than two if the compatibility condition is violated. KW - Elliptic transmission problem KW - Regularity theory KW - Lipschitz continuity Y1 - 2011 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/741 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-7413 ER -