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# Antoine Mellet : Existence and regularity of extremal solutions for a mean-curvature equation

We study a mean curvature problem arising in particular in the study of MEMS (Micro-Electro-Mechanical Systems) and pendent capillary drops. The underlying mathematical problem is similar to the classical semilinear equation -\Delta u=\lambda f(u) but involves the mean-curvature operator instead of the Laplacian.

**Category**: Applied Math and Analysis**Duration**: 01:34:53**Date**: November 9, 2009 at 4:25 PM**Views**: 107-
**Tags:**seminar, Elliptic Curves Working Seminar

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