Boundary behavior of capillary surfaces possibly with extremal boundary angles.

Liang, Fei-Tsen

Displaying similar documents to “Boundary behavior of capillary surfaces possibly with extremal boundary angles.”

Global boundedness, interior gradient estimates, and boundary regularity for the mean curvature equation with boundary conditions.

Liang, Fei-Tsen (2004)

International Journal of Mathematics and Mathematical Sciences

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Global Lipschitz continuity for elliptic transmission problems with a boundary intersecting interface

Pierre-Etienne Druet (2013)

Mathematica Bohemica

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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 pair of compatibility conditions for the angle of the two surfaces and the boundary data at the contact line, we prove the existence of up to the boundary square-integrable second derivatives, and the global Lipschitz continuity of the solution. If only the weakest, necessary condition is satisfied,...