A generalized Minkowski problem with Dirichlet boundary condition

DOI10.1090/S0002-9947-02-03135-5zbMath1081.35045OpenAlexW1678478918MaRDI QIDQ4779888

Oliver C. Schnurer

Publication date: 28 October 2002

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-02-03135-5

zbMATH Keywords

Dirichlet problemestimatesconvex hypersurfacesprescribed curvatureMinkowski problemWeingarten curvature

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (1)

Prescribing Gauss curvature of surfaces in 3-dimensional spacetimes. Application to the Minkowski problem in the Minkowski space

Cites Work

• The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
• Closed Weingarten hypersurfaces in Riemannian manifolds
• Locally convex hypersurfaces of prescribed curvature and boundary
• Boundary-value problems on \(S^ n\) for surfaces of constant Gauss curvature
• On the Dirichlet problem for Hessian equations
• Corrigendum: Convex hypersurfaces of prescribed curvature
• The Dirichlet problem for Weingarten hypersurfaces in Lorentz manifolds
• The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
• On the regularity of the solution of then-dimensional Minkowski problem
• Hypersurfaces of prescribed Gauss curvature and boundary in Riemannian manifolds
• The Dirichlet problem for Monge-Ampère equations in non-convex domains and spacelike hypersurfaces of constant Gauss curvature

This page was built for publication: A generalized Minkowski problem with Dirichlet boundary condition