On the regularity of solutions in convex integration theory

DOI10.1007/BF01245070zbMath0782.35014OpenAlexW1983562495MaRDI QIDQ1174476

David Spring

Publication date: 25 June 1992

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143878

zbMATH Keywords

regularityundetermined systemsGromov's convex integration

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Partial differential inequalities and systems of partial differential inequalities (35R45) Nonlinear higher-order PDEs (35G20) Differentiable maps on manifolds (58C25) Nonlinear operators and their properties (47H99)

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Cites Work

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• Applications of convex integration to symplectic and contact geometry
• Isometric embedding of a smooth compact manifold with a metric of low regularity
• Convex integration of nonlinear systems of partial differential equations
• Partial Differential Relations