Nonlinear Hodge maps
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Publication:2738144
DOI10.1063/1.533436zbMath0974.58018arXivmath-ph/9908030OpenAlexW3102384806WikidataQ125631673 ScholiaQ125631673MaRDI QIDQ2738144
Publication date: 30 August 2001
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/9908030
Variational methods for problems in mechanics (70G75) Variational principles in infinite-dimensional spaces (58E30) Compressible fluids and gas dynamics (76N99) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15) More general nonquantum field theories in mechanics of particles and systems (70S20)
Related Items (5)
Variational equations on mixed Riemannian-Lorentzian metrics ⋮ Maps and fields with compressible density ⋮ On a class of mappings between Riemannian manifolds ⋮ Duality methods for a class of quasilinear systems ⋮ Strong solutions to a class of boundary value problems on a mixed Riemannian-Lorentzian metric
Cites Work
- An existence theorem for a non-regular variational problem
- A sub-elliptic estimate for a class of invariantly defined elliptic systems
- Regularity for a class of nonlinear elliptic systems
- Nonlinear Hodge theory: applications
- Properties of nonlinear Hodge fields
- Yang-Mills fields with nonquadratic energy
- Local behavior of solutions of quasi-linear equations
- A non-linear Hodge-de Rham theorem
- Mappings minimizing theLp norm of the gradient
- Global and local behavior of positive solutions of nonlinear elliptic equations
- Removable singularities of solutions of elliptic equations
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