On the \(n\)-dimensional Dirichlet problem for isometric maps

DOI10.1016/j.jfa.2008.10.010zbMath1160.35374OpenAlexW1997645144MaRDI QIDQ999766

Paolo Marcellini, Emmanuele Paolini, Bernard Dacorogna

Publication date: 10 February 2009

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2008.10.010

zbMATH Keywords

Dirichlet problemorthogonal gradients

Mathematics Subject Classification ID

PDEs with multivalued right-hand sides (35R70) Solutions to PDEs in closed form (35C05) Boundary value problems for nonlinear first-order PDEs (35F30)

Related Items (5)

Origami and Fractal Solutions of Differential Systems ⋮ The degenerate two well problem for piecewise affine maps ⋮ Higher Sobolev Regularity of Convex Integration Solutions in Elasticity: The Dirichlet Problem with Affine Data in int(K^{lc}) ⋮ Numerical Approximation of Orthogonal Maps ⋮ An anisotropic adaptive method for the numerical approximation of orthogonal maps

Cites Work

• The failure of rank-one connections
• Lipschitz-continuous local isometric immersions: rigid maps and origami
• Implicit partial differential equations
• General existence theorems for Hamilton-Jacobi equations in the scalar and vectorial cases
• Confining thin elastic sheets and folding paper
• An explicit solution to a system of implicit differential equations
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