Jacobian-determinant equation in the critical Besov spaces

DOI10.1007/S10114-016-5749-ZzbMath1365.35014OpenAlexW2561700257MaRDI QIDQ2627882

Xiang Rong Zhu

Publication date: 1 June 2017

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-016-5749-z

zbMATH Keywords

Besov spaceelliptic systemNeumann problemJacobian-determinant

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial-boundary value problems for nonlinear first-order PDEs (35F31) Close-to-elliptic equations (35H99)

Cites Work

• The Jacobian determinant revisited
• On a partial differential equation involving the Jacobian determinant
• Theory of function spaces
• Theory of function spaces II
• A relaxation theorem and its application to the equilibrium of gases
• Compensated compactness and Hardy spaces
• Prescribing the Jacobian determinant in Sobolev spaces
• Resolutions of the prescribed volume form equation
• On the Volume Elements on a Manifold
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