On the existence and regularity of hypersurfaces of prescribed Gauss curvature with boundary
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Publication:4844822
DOI10.1512/IUMJ.1995.44.1985zbMath0833.35037OpenAlexW2072417773MaRDI QIDQ4844822
Publication date: 18 March 1996
Published in: Indiana University Mathematics Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1512/iumj.1995.44.1985
Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)
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Existence of $C^\{\infty \}$ local solutions of the complex Monge-Ampère equation ⋮ Finite element approximations of general fully nonlinear second order elliptic partial differential equations based on the vanishing moment method ⋮ Vanishing moment method and moment solutions for fully nonlinear second order partial differential equations ⋮ A class of prescribed Weingarten curvature equations for locally convex hypersurfaces with boundary in \(\mathbb{R}^{n+1}\) ⋮ On the Dirichlet problem for Monge-Ampère type equations ⋮ Strictly locally convex hypersurfaces with prescribed curvature and boundary in space forms ⋮ The Dirichlet problem for Monge-Ampère equations in non-convex domains and spacelike hypersurfaces of constant Gauss curvature ⋮ Convergence of a fourth-order singular perturbation of then-dimensional radially symmetric Monge–Ampère equation ⋮ Boundary \(C^{2, \alpha}\) estimates for Monge-Ampère type equations
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