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Compact hypersurfaces of prescribed mean curvature with free boundary in a ball

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Publication:2116434
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DOI10.1007/s10455-022-09829-1zbMath1487.53016OpenAlexW4212902371MaRDI QIDQ2116434

Tao Qiang, Chao Xia

Publication date: 17 March 2022

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-022-09829-1


zbMATH Keywords

free boundaryNeumann problemprescribed mean curvaturequasilinear partial differential equationstar-shaped hypersurface


Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Quasilinear elliptic equations (35J62) PDEs on manifolds (35R01)




Cites Work

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  • Embedded hyperspheres with prescribed mean curvature
  • Starshaped compact hypersurfaces with prescribed \(k\)-th mean curvature in hyperbolic space
  • Starshaped compact hypersurfaces with prescribed Weingarten curvature in warped product manifolds
  • Uniqueness of stable capillary hypersurfaces in a ball
  • Closed Weingarten hypersurfaces in warped product manifolds
  • Degree Theory for Second Order Nonlinear Elliptic Operators and its Applications
  • Oblique Derivative Problems for Elliptic Equations
  • Hypersurfaces in IRn+1with prescribed gaussian curvature and related equations of monge—ampére type
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