Sharp boundary regularity for some degenerate-singular Monge-Ampère equations on \(k\)-convex domain
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Publication:6181281
DOI10.1016/j.jde.2023.11.007arXiv2303.09890OpenAlexW4388750960MaRDI QIDQ6181281
Publication date: 2 January 2024
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2303.09890
Smoothness and regularity of solutions to PDEs (35B65) Degenerate elliptic equations (35J70) Monge-Ampère equations (35J96)
Cites Work
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- Mirror symmetric solutions to the centro-affine Minkowski problem
- The Monge-Ampère equation and its applications
- Schauder estimates for degenerate Monge-Ampère equations and smoothness of the eigenfunctions
- Affine sphere relativity
- Global Hölder estimates for equations of Monge-Ampère type
- A priori estimates and existence of solutions to the prescribed centroaffine curvature problem
- Optimal boundary regularity for a singular Monge-Ampère equation
- A singular Monge-Ampère equation on unbounded domains
- Global regularity for a class of Monge-Ampère type equations
- Optimal boundary regularity for some singular Monge-Ampère equations on bounded convex domains
- Boundary regularity for the Monge-Ampère and affine maximal surface equations
- The \(L_p\)-Minkowski problem and the Minkowski problem in centroaffine geometry
- On a class of degenerate and singular Monge-Ampère equations
- The Dirichlet problem for the equation of prescribed Gauss curvature
- The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
- Complete affine hypersurfaces. Part I. The completeness of affine metrics
- On the regularity of the monge-ampère equation det (∂2 u/∂xi ∂xj) = f(x, u)
- Pointwise 𝐶^{2,𝛼} estimates at the boundary for the Monge-Ampère equation
- The Monge-Ampère equation
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