### Karen Uhlenbeck's contributions to ~~gauge theoretic~~ analysis

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Harmonic maps: A direct method in the calculus of variations,” Bull. Am. Math. Soc. 76 : 5 (1970), pp. 1082–1087. MR 264714 Zbl 0208.12802 article

: “Generic properties of eigenfunctions,” Am. J. Math. 98 : 4 (1976), pp. 1059–1078. MR 464332 Zbl 0355.58017 article

: “
The existence of minimal immersions of two-spheres,”
Bull. Am. Math. Soc.
83 : 5
(1977),
pp. 1033–1036.
A related article with almost the same title was published in *Ann. Math.* **113**:1 (1981).
MR
448408
Zbl
0375.49016
article

Removable singularities in Yang–Mills fields,”
Bull. Am. Math. Soc. (N.S.)
1 : 3
(May 1979),
pp. 579–581.
A related article with the same title was published in *Comm. Math. Phys.* **83**:1 (1982).
MR
526970
Zbl
0416.35026
article

Morse theory by perturbation methods with applications to harmonic maps,” Trans. Am. Math. Soc. 267 : 2 (1981), pp. 569–583. MR 626490 Zbl 0509.58012 article

: “
The existence of minimal immersions of 2-spheres,”
Ann. Math. (2)
113 : 1
(January 1981),
pp. 1–24.
A related article with almost the same title was published in *Bull. Am. Math. Soc.* **83**:5 (1977).
MR
604040
Zbl
0462.58014
article

Removable singularities in Yang–Mills fields,”
Comm. Math. Phys.
83 : 1
(February 1982),
pp. 11–29.
A related article with the same title was published in *Bull. Am. Math. Soc.* **1**:3 (1979).
MR
648355
Zbl
0491.58032
article

Connections with __\( L^p \)__ bounds on curvature,”
Comm. Math. Phys.
83 : 1
(February 1982),
pp. 31–42.
MR
648356
Zbl
0499.58019
article

A regularity theory for harmonic maps,”
J. Diff. Geom.
17 : 2
(1982),
pp. 307–335.
A correction to this article was published in *J. Diff. Geom.* **18**:2 (1983).
MR
664498
Zbl
0521.58021
article

Minimal immersions of closed Riemann surfaces,” Trans. Am. Math. Soc. 271 : 2 (1982), pp. 639–652. MR 654854 Zbl 0527.58008 article

: “Boundary regularity and the Dirichlet problem for harmonic maps,” J. Diff. Geom. 18 : 2 (1983), pp. 253–268. MR 710054 Zbl 0547.58020 article

: “
Correction to: ‘A regularity theory for harmonic maps’,”
J. Diff. Geom.
18 : 2
(1983),
pp. 329.
Correction to an article published in *J. Diff. Geom.* **17**:2 (1982).
MR
710058
article

Closed minimal surfaces in hyperbolic 3-manifolds,” pp. 147–168 in Seminar on minimal submanifolds. Edited by E. Bombieri. Annals of Mathematics Studies 103. Princeton University Press, 1983. MR 795233 Zbl 0529.53007 incollection

: “Minimal spheres and other conformal variational problems,” pp. 169–176 in Seminar on minimal submanifolds. Edited by E. Bombieri. Annals of Mathematics Studies 103. Princeton University Press, 1983. MR 795234 Zbl 0535.53050 incollection

: “
Variational problems for gauge fields,”
pp. 585–591
in
Proceedings of the International Congress of Mathematicians,
vol. 2.
Edited by Z. Ciesielski and C. Olech.
PWN (Warsaw),
1984.
An earlier article with the same title was published in *Seminar on differential geometry* (1982).
MR
804715
Zbl
0562.53059
incollection

Regularity of minimizing harmonic maps into the sphere,” Invent. Math. 78 : 1 (February 1984), pp. 89–100. MR 762354 Zbl 0555.58011 article

: “The Chern classes of Sobolev connections,” Comm. Math. Phys. 101 : 4 (December 1985), pp. 449–457. MR 815194 Zbl 0586.53018 article

: “
On the existence of Hermitian-Yang–Mills connections in stable vector bundles,”
pp. S257–S293
in
Proceedings of the Symposium on Frontiers of the Mathematical Sciences: 1985
(New York, October 1985),
published as Comm. Pure Appl. Math.
39 : Supplement S1.
Issue edited by C. Morawetz.
J. Wiley and Sons (New York),
1986.
A note on this article was published in *Commun. Pure Appl. Math.* **42**:5 (1989).
MR
861491
Zbl
0615.58045
incollection

Solutions to Yang–Mills equations that are not self-dual,” Proc. Natl. Acad. Sci. U.S.A. 86 : 22 (November 1989), pp. 8610–8613. MR 1023811 Zbl 0731.53031 article

: “Commentary on ‘analysis in the large’,” pp. 357–359 in A century of mathematics in America, part 2. Edited by P. L. Duren, R. Askey, and U. C. Merzbach. History of Mathematics 2. American Mathematical Society (Providence, RI), 1989. MR 1003144 incollection

: “
A note on our previous paper: On the existence of Hermitian Yang–Mills connections in stable vector bundles,”
Commun. Pure Appl. Math.
42 : 5
(1989),
pp. 703–707.
A note on an article published in *Commun. Pure Appl. Math.* **39**:S1 (1986).
MR
997570
Zbl
0678.58041
article

Instantons and their relatives,” pp. 467–477 in Mathematics into the twenty-first century (Providence, RI, 8–12 August 1988). Edited by F. E. Browder. American Mathematical Society Centennial Publications 2. American Mathematical Society (Providence, RI), 1992. MR 1184623 Zbl 1073.53505 incollection

: “Introduction,” pp. 5–19 in Integral systems. Edited by C.-L. Terng and K. Uhlenbeck. Surveys in Differential Geometry 4. International Press (Cambridge, MA), 1998. Zbl 0938.35182 incollection

: “Moduli space theory for constant mean curvature surfaces immersed in space-forms,” Comm. Anal. Geom. 15 : 2 (2007), pp. 299–305. MR 2344325 Zbl 1136.53048 ArXiv math/0611295 article

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