Boundary behavior of capillary surfaces possibly with extremal boundary angles.
Liang, Fei-Tsen (2005)
International Journal of Mathematics and Mathematical Sciences
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Liang, Fei-Tsen (2005)
International Journal of Mathematics and Mathematical Sciences
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Ferrari, Fausto, Salsa, Sandro (2007)
Boundary Value Problems [electronic only]
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Eugen Viszus (1990)
Commentationes Mathematicae Universitatis Carolinae
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Nečas, J.
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Gianni Gilardi, Stephan Luckhaus (1991)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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One proves, in the case of piecewise smooth coefficients, that the time derivative of the solution of the so called dam problem is a measure, extending the result proved by the same authors in the case of Lipschitz continuous coefficients.
Gary M. Lieberman (2002)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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There is a long history of studying nonlinear boundary value problems for elliptic differential equations in a domain with sufficiently smooth boundary. In this paper, we show that the gradient of the solution of such a problem is continuous when a directional derivative is prescribed on the boundary of a Lipschitz domain for a large class of nonlinear equations under weak conditions on the data of the problem. The class of equations includes linear equations with fairly rough coefficients...