Nonlinear Hodge maps

DOI10.1063/1.533436zbMath0974.58018arXivmath-ph/9908030OpenAlexW3102384806WikidataQ125631673 ScholiaQ125631673MaRDI QIDQ2738144

Thomas H. Otway

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

zbMATH Keywords

variational equationsnonlinear Hodge energy

Mathematics Subject Classification ID

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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