A brief history of the Jacobian
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Publication:6154992
DOI10.1142/s021919972330001xOpenAlexW4315778158MaRDI QIDQ6154992
Jean Mawhin, Petru Mironescu, Haim Brezis
Publication date: 16 February 2024
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s021919972330001x
History of mathematics in the 20th century (01A60) Function spaces arising in harmonic analysis (42B35) History of mathematics in the 19th century (01A55) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to history and biography (01-01)
Cites Work
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- The Jacobian determinant revisited
- Closure of smooth maps in \(W^{1,p}(B^3;S^2)\)
- Prescribing the Jacobian in critical spaces
- A characterization of maps in \(H^ 1(B^ 3,S^ 2)\) which can be approximated by smooth maps
- A regularity theory for harmonic maps
- Harmonic maps with defects
- On the optimality of certain Sobolev exponents for the weak continuity of determinants
- Convexity conditions and existence theorems in nonlinear elasticity
- The optimal constant in Wente's \(L^\infty\) estimate
- Functions with prescribed singularities
- \(H^{1/2}\) maps with values into the circle: minimal connections, lifting, and the Ginzburg-Landau equation
- Compensated compactness and Hardy spaces
- Distributional Jacobian and singularities of Sobolev maps
- An existence theorem for surfaces of constant mean curvature
- Prescribed singularities with weights
- Higher integrability of determinants and weak convergence in L1.
- Multiple solutions ofH-systems and Rellich's conjecture
- An Elementary Proof of the No-Retraction Theorem
- The structure of null Lagrangians
- A property of sobolev spaces
- On the structure of the Sobolev space H1/2 with values into the circle
- A REMARK ON THE JACOBIANS
- Lifting, degree, and distributional Jacobian revisited
- The interplay between analysis and topology in some nonlinear PDE problems
- Brouwer Degree
- Note on the class LlogL
- Sobolev Maps to the Circle
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