Nonunique tangent maps at isolated singularities of harmonic maps

DOI10.1090/S0273-0979-1992-00254-9zbMath0774.49028arXivmath/9201270MaRDI QIDQ3992029

Brian White

Publication date: 28 June 1992

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9201270

zbMATH Keywords

energy minimizing mapstangent mapsisolated singularitiesbounded domain in a compact Riemannian manifold

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Nonlinear elliptic equations (35J60) Harmonic maps, etc. (58E20) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items

Nonunique tangent maps at isolated singularities of harmonic maps, Uniqueness and nonuniqueness of limits of Teichmüller harmonic map flow, Commentary on “Nonunique tangent maps at isolated singularities of harmonic maps” by Brian White, Unique tangent behavior for 1-dimensional stationary varifolds, Morse quasiflats. II, The unique tangent cone property for weakly holomorphic maps into projective algebraic varieties, Recent progress on minimal hypersurfaces with cylindrical tangent cones, Singularities of harmonic maps, Uniqueness of tangent cones for semicalibrated integral 2-cycles, A spiral interface with positive Alt-Caffarelli-Friedman limit at the origin

Cites Work

• Tangent cones to two-dimensional area-minimizing integral currents are unique
• Asymptotics for a class of non-linear evolution equations, with applications to geometric problems
• A regularity theory for harmonic maps
• The rate of convergence of a harmonic map at a singular point
• The structure of minimizing hypersurfaces mod 4
• On the radial behavior of minimal surfaces and the uniqueness of their tangent cones
• The structure of singularities in solutions to ellipsoidal variational problems with constraints in \(R^3\)
• Regularity of the singular sets of two-dimensional area-minimizing flat chains modulo 3 in R\(^3\)
• Nonunique tangent maps at isolated singularities of harmonic maps