On the equation \(\det\nabla{u}=f\) with no sign hypothesis

DOI10.1007/s00526-009-0228-3zbMath1180.35169OpenAlexW2164777848WikidataQ114229065 ScholiaQ114229065MaRDI QIDQ1034716

Bernard Dacorogna, Olivier Kneuss, Giovanni Cupini

Publication date: 6 November 2009

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-009-0228-3

zbMATH Keywords

classical solution

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Boundary value problems for nonlinear first-order PDEs (35F30)

Related Items (9)

The Pullback Equation ⋮ 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 ⋮ Highly irregular separated nets ⋮ On the Hardy space theory of compensated compactness quantities ⋮ Energy Estimates and Cavity Interaction for a Critical-Exponent Cavitation Model ⋮ Differential Inclusions and Young Measures Involving Prescribed Jacobians ⋮ An Alternating Direction Method of Multipliers for the Numerical Solution of a Fully Nonlinear Partial Differential Equation Involving the Jacobian Determinant ⋮ A Numerical Algorithm for a Fully Nonlinear PDE Involving the Jacobian Determinant

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• Locally one-to-one mappings and a classical theorem on schlicht functions
• On the Volume Elements on a Manifold
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