Solution of the Dirichlet problem for the prescribed Jacobian equation using the Monge-Ampère equation
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Publication:424745
DOI10.1016/j.crma.2012.04.005zbMath1243.35038OpenAlexW1997148491MaRDI QIDQ424745
Guillaume Carlier, Bernard Dacorogna
Publication date: 4 June 2012
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.crma.2012.04.005
Related Items (6)
The Pullback Equation ⋮ The Dirichlet problem for the Jacobian equation in critical and supercritical Sobolev spaces ⋮ A least-squares method for the solution of the non-smooth prescribed Jacobian equation ⋮ Nonlinear open mapping principles, with applications to the Jacobian equation and other scale-invariant PDEs ⋮ Bi-Sobolev solutions to the prescribed Jacobian inequality in the plane with \(L^{p}\) data and applications to nonlinear elasticity ⋮ An Alternating Direction Method of Multipliers for the Numerical Solution of a Fully Nonlinear Partial Differential Equation Involving the Jacobian Determinant
Cites Work
- The pullback equation for differential forms
- Boundary regularity of maps with convex potentials. II
- On manifolds homeomorphic to the 7-sphere
- On a partial differential equation involving the Jacobian determinant
- On the regularity of the polar factorization for time dependent maps
- Polar factorization and monotone rearrangement of vector‐valued functions
- Elliptic Partial Differential Equations of Second Order
- On the second boundary value problem for equations of Monge-Ampère type.
- Shape recognition via Wasserstein distance
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