Titlebook: Geometric Analysis and Nonlinear Partial Differential Equations; Stefan Hildebrandt,Hermann Karcher Book 2003 Springer-Verlag Berlin Heide

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978-3-642-62887-0Springer-Verlag Berlin Heidelberg 2003

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Geometric Analysis and Nonlinear Partial Differential Equations978-3-642-55627-2

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access to an important branch of analysis by exhibiting interest- ing problems worth to be studied. Most of the collected articles have an extensive introductory part describing the history of978-3-642-62887-0978-3-642-55627-2

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On the Spectral Theory of Surfaces with Cuspsre cusps as in the case of finite area surfaces of negative curvature and 2) the geometry of the Dirac bundle in question is closely related to the geometry of . we investigate the essential spectrum of the corresponding Dirac operator . and discuss its Fredholm index.

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Unstable Periodic Discrete Minimal SurfacesOur algorithm makes use of the duality between conforming and non-conforming discrete minimal surfaces which was observed earlier. In first experiments the new algorithm allows us the computation of unstable periodic discrete minimal surfaces of high numerical precision. The extraordinary precision

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