Variational problems for maps of bounded variation with values in \(S^ 1\)
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Publication:1315050
DOI10.1007/BF02163266zbMath0810.49040OpenAlexW2057464224MaRDI QIDQ1315050
Mariano Giaquinta, Giuseppe Modica, Jiří Souček
Publication date: 20 April 1995
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02163266
integral functionalsCartesian currentsexistence of minimizersdipole problemvariational problems on manifolds
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Cites Work
- Unnamed Item
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- Unnamed Item
- Variational problems on vector bundles
- Nuovi teoremi relativi alle misure \((r - 1)\)-dimensionali in uno spazio ad \(r\) dimensioni
- On a partial differential equation involving the Jacobian determinant
- Harmonic maps with defects
- Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity
- The Dirichlet energy of mappings with values into the sphere
- Funzioni BV e tracce
- Integral representation on \(BV(\Omega )\) of \(\Gamma\)-limits of variational integrals
- The Dirichlet integral for mappings between manifolds: Cartesian currents and homology
- Su una teoria generale della misura \((r-1)\)-dimensionale in uno spazio ad \(r\) dimensioni
- A General Chain Rule for Distributional Derivatives