Resolutions of the prescribed volume form equation
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Publication:1922834
DOI10.1007/BF01194070zbMath0857.35025OpenAlexW2084553878MaRDI QIDQ1922834
Publication date: 9 March 1997
Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01194070
Related Items (25)
The Pullback Equation ⋮ On the equation 𝑑𝑖𝑣𝑌=𝑓 and application to control of phases ⋮ Jacobian-determinant equation in the critical Besov spaces ⋮ Solutions of vectorial Hamilton-Jacobi equations and minimizers of nonquasiconvex functionals ⋮ Existence of solution of the pullback equation involving volume forms ⋮ 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 ⋮ On the regularization of conservative maps ⋮ On the conservative pasting lemma ⋮ Delone sets that are not rectifiable under Lipschitz co-uniformly continuous bijections ⋮ Nonlinear open mapping principles, with applications to the Jacobian equation and other scale-invariant PDEs ⋮ Remarks on a nonlinear transport problem ⋮ Highly irregular separated nets ⋮ Linearly repetitive Delone sets are rectifiable ⋮ Bi-Sobolev solutions to the prescribed Jacobian inequality in the plane with \(L^{p}\) data and applications to nonlinear elasticity ⋮ A pasting lemma and some applications for conservative systems ⋮ Existence of solutions for some quasiaffine PDEs ⋮ Schrödinger equation in moving domains ⋮ On the pullback equation \(\varphi ^*(g)=f\) ⋮ The Jacobian, the square root and the set \(\infty \) ⋮ Energy minimisers with prescribed Jacobian ⋮ Functions of bounded fractional variation and fractal currents ⋮ On the equation \(\det\nabla{u}=f\) with no sign hypothesis ⋮ Energy Estimates and Cavity Interaction for a Critical-Exponent Cavitation Model ⋮ An Alternating Direction Method of Multipliers for the Numerical Solution of a Fully Nonlinear Partial Differential Equation Involving the Jacobian Determinant
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- On a partial differential equation involving the Jacobian determinant
- The boundary problems of physical geodesy
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- Harmonische Funktionen und Jacobi-Determinanten von Diffeomorphismen
- Measure-preserving homeomorphisms and metrical transitivity
- On the Volume Elements on a Manifold
- Direct methods in the calculus of variations
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