Hypersurfaces of prescribed curvature measure
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Publication:442757
DOI10.1215/00127094-1645550zbMath1254.53073arXiv1103.2383OpenAlexW2950593930MaRDI QIDQ442757
Pengfei Guan, Junfang Li, Yan-yan Li
Publication date: 4 August 2012
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1103.2383
Nonlinear elliptic equations (35J60) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)
Related Items (45)
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Cites Work
- The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
- The Christoffel-Minkowski problem. I: Convexity of solutions of a Hessian equation
- Curvature Measures
- The Existence of Convex Body with Prescribed Curvature Measures
- On the regularity of the solution of then-dimensional Minkowski problem
- Christoffel's problem for general convex bodies
- On Differential Geometry in the Large, I (Minkowski's Problem)
- The Weyl and Minkowski problems in differential geometry in the large
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