On minimizing extrinsic biharmonic maps

DOI10.1007/S00526-021-02004-7zbMath1471.58022OpenAlexW3175993446WikidataQ115386581 ScholiaQ115386581MaRDI QIDQ2048699

Lara Saliba, Ali Fardoun

Publication date: 23 August 2021

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-021-02004-7

zbMATH Keywords

minimizing extrinsic biharmonic maps

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Global Riemannian geometry, including pinching (53C20) Harmonic maps, etc. (58E20) Differential complexes (58J10)

Cites Work

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• On the generalized Chen's conjecture on biharmonic submanifolds
• An optimal partial regularity result for minimizers of an intrinsically defined second-order functional
• A monotonicity formula for stationary biharmonic maps
• Partial regularity for biharmonic maps, revisited
• Uniqueness and stability of harmonic maps and their Jacobi fields
• A general approach to equivariant biharmonic maps
• Rotationally symmetric biharmonic maps between models
• Regularity and relaxed problems of minimizing biharmonic maps into spheres
• A Variational Problem Pertaining to Biharmonic Maps
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Some conditions ensuring the vanishing of harmonic differential forms with applications to harmonic maps and Yang-Mills theory
• Stationary biharmonic maps fromRm into a Riemannian manifold
• Energy quantization for biharmonic maps
• Stability of the equator map for the Hessian energy
• Conservation Laws for Fourth Order Systems in Four Dimensions

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