On the mean oscillation of the Hessian of solutions to the Monge-Ampère equation
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Publication:855505
DOI10.1016/j.aim.2005.12.005zbMath1168.35356OpenAlexW2020783794MaRDI QIDQ855505
Publication date: 7 December 2006
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aim.2005.12.005
Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) Monge-Ampère equations (35J96)
Related Items (7)
On the Preservation of Eccentricities of Monge–Ampère Sections ⋮ Regularity results on the parabolic Monge-Ampère equation with \(VMO\) type data ⋮ Interior gradient estimates for solutions to the linearized Monge-Ampère equation ⋮ Regularity of the Monge-Ampère equation in Besov's spaces ⋮ Existence of the global solution for the parabolic Monge-Ampère equations on compact Riemannian manifolds ⋮ Boundary Hölder gradient estimates for the Monge-Ampère equation ⋮ Sharp regularity results on second derivatives of solutions to the Monge-Ampère equation with VMO type data
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- On the regularity of the monge-ampère equation det (∂2 u/∂xi ∂xj) = f(x, u)
- Fully nonlinear elliptic equations and the dini condition
- Geometric properties of the sections of solutions to the Monge-Ampère equation
- The Monge-Ampère equation
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