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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Liang, Fei-Tsen (2004)
International Journal of Mathematics and Mathematical Sciences
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Pierre-Etienne Druet (2013)
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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,...
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Boundary Value Problems [electronic only]
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Fabiano Gustavo Braga Brito, Ricardo Sa Earp (1997)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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