Estimates for stable hypersurfaces of prescribed F-mean curvature |
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Authors: | Sven Winklmann |
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Affiliation: | (1) Centro di Ricerca, Mathematica Ennio De Giorgi, Scuola Normale Superiore di Pisa, 56100 Pisa, Italy |
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Abstract: | We consider immersed hypersurfaces :Mn→ℝn+1 with prescribed anisotropic mean curvature . Such hypersurfaces can be characterized as critical points of parametric functionals of the type with an elliptic Lagrangian F depending on normal directions and a smooth vectorfield Q satisfying . We establish curvature estimates for stable hypersurfaces of dimension n≤5, provided F is C3-close to the area integrand. |
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Keywords: | 53C42 49Q10 35J60 |
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