References
F. Almgren & E. Lieb,Singularities of Energy Minimizing Maps from the Ball to the Sphere: Examples, Counterexamples, and Bounds, Preprint (1987)
D. Adams & L. Simon,Rates of Asymptotic Convergence Near Isolated Singularities of Geometric Extrema, Indiana Univ. Math. J.37 (1988), 225–254
A. Baldes,Stability and Uniqueness Properties of the Equator Map from a Ball into an Ellipsoid, Math. Z.185 (1984), 505–516
L. Caffarelli, R. Hardt & L. Simon,Minimal Surfaces with Isolated Singularities, Manuscripta Math.48 (1984), 1–18
S. Hildebrandt, H. Kaul & K.-O. Widman,An Existence Theorem for Harmonic Mappings of Riemannian Manifolds, Acta Math.138 (1977), 1–16.
R. Hardt & L. Simon,Area Minimizing Hypersurfaces with Isolated Singularities, J. Reine u. Angew. Math.362 (1985), 102–129
W. Jäger & H. Kaul,Rotationally Symmetric Harmonic Maps from a Ball into a Sphere and the Regularity Problem for Weak Solutions of Elliptic Systems, J. Reine u. Angew. Math.343 (1983), 146–161
R. L. McIntosh,Perturbing away Singularities from Area-minimizing Hypercones, J. Reine u. Angew. Math.377 (1987), 210–218
J. H. Sampson,Some Properties and Applications of Harmonic Maps, Ann. Sc. Ec. Sup.11 (1978), 211–228
L. Simon & B. Solomon,Minimal Hypersurfaces Asymptotic to Quadratic Cones in R n+1, Invent. Math.86 (1986), 535–551
R. Schoen & K. Uhlenbeck,A Regularity Theory for Harmonic Maps, J. Diff. Geom.17 (1982), 307–335
R. Schoen & K. Uhlenbeck,Boundary Regularity and the Dirichlet Problem for Harmonic Maps, J. Diff. Geom.18 (1983), 253–268
R. Schoen & K. Uhlenbeck,Regularity of Minimizing Harmonic Maps into the Sphere, Invent. Math.78 (1984), 89–100
L. Simon,Isolated Singularities of Extrema of Geometric Variational Problems, Springer Lecture Notes (Ed. E. Giusti)1161 (1985)
B. White,Generic Regularity of Unoriented 2-dimensional Area-minimizing Surfaces, Ann. of Math.121 (1985), 595–603
Author information
Authors and Affiliations
Additional information
Research of the second author was partly supported by NSF Grant # DMS-8703537 at Stanford University
Rights and permissions
About this article
Cite this article
McIntosh, R., Simon, L. Perturbing away singularities of harmonic maps. Manuscripta Math 67, 113–124 (1990). https://doi.org/10.1007/BF02568425
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02568425