Boundary value problems for harmonic and minimal maps of surfaces into manifolds
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 9 (1982) no. 1, p. 91-103 
@article{ASNSP_1982_4_9_1_91_0,
     author = {Lemaire, Luc},
     title = {Boundary value problems for harmonic and minimal maps of surfaces into manifolds},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 9},
     number = {1},
     year = {1982},
     pages = {91-103},
     zbl = {0532.58004},
     mrnumber = {664104},
     language = {en},
     url = {http://www.numdam.org/item/ASNSP_1982_4_9_1_91_0}
}

Lemaire, Luc. Boundary value problems for harmonic and minimal maps of surfaces into manifolds. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 9 (1982) no. 1, pp. 91-103. http://www.numdam.org/item/ASNSP_1982_4_9_1_91_0/

[1] W. Abikoff, The real anatytic theory of Teichmüller space, Springer Lecture Notes 820 (1980). | MR 590044 | Zbl 0452.32015

[2] W.D. Barcus - M.G. Baratt, On the homotopy classification of the extensions of a fixed map, Trans. Amer. Math. Soc., 88 (1958), pp. 57-74. | MR 97060 | Zbl 0095.16801

[3] R. Courant, Dirichlet's principle, conformal mapping and minimal surfaces, Pure Appl. Math. III, Interscience (1950), Springer-Verlag (1977). | MR 36317 | Zbl 0040.34603

[4] J. Dieudonné, Elements d'analyse, tome 3, cahiers scientifiques, fascicule 33, Gauthier-Villars (1970). | Zbl 0208.31802

[5] J. Eells - L. Lemaire, A report on harmonic maps, Bull. London Math. Soc., 10 (1978), pp. 1-68. | MR 495450 | Zbl 0401.58003

[6] P. Hartman, On homotopic harmonic maps, Canad. J. Math., 19 (1967), pp. 673-687. | MR 214004 | Zbl 0148.42404

[7] E. Heinz - S. Hildebrandt, Some remarks on minimal surfaces in Riemannian manifolds, Comm. Pure Appl. Math., 23 (1970), pp. 371-377. | MR 259765 | Zbl 0188.42102

[8] S. Hildebrandt - H. Kaul - K.-O. Widman, An existence theorem for harmonic mappings of Riemannian manifolds, Acta Math., 138 (1977), pp. 1-16. | MR 433502 | Zbl 0356.53015

[9] S. Hildebrandt - K.-O. Widman, Some regularity results for quasilinear elliptic systems of second order, Math. Z., 142 (1975), pp. 67-86. | MR 377273 | Zbl 0317.35040

[10] L. Lemaire, Applications harmoniques de variétés à bord, C. R. Acad. Sci. Paris, A 279 (1974), pp. 925-927. | MR 405501 | Zbl 0291.35036

[11] L. Lemaire, Applications harmoniques de surfaces riemanniennes, J. Diff. Geom., 13 (1978), pp. 51-78. | MR 520601 | Zbl 0388.58003

[12] L. Lemaire, Harmonic nonholomorphic maps from a surface to a sphere, Proc. Amer. Math. Soc., 71 (1978), pp. 299-304. | MR 501102 | Zbl 0388.58004

[13] W.H. Meeks - S.-T. Yau, The classical Plateau problem and the topology of three-dimensional manifolds, to appear in Arch. Rational Mech. Anal.

[14] C.B. Morrey, The problem of Plateau on a Riemannian manifold, Ann. of Math., 49 (1948), pp. 807-851. | MR 27137 | Zbl 0033.39601

[15] C.B. Morrey, Multiple integrals in the calculus of variations, Grundlehren Math. 130, Springer-Verlag (1966). | MR 202511 | Zbl 0142.38701

[16] J. Sacks - K. Uhlenbeck, The existence of minimal immersions of 2-spheres, Bull. Amer. Math. Soc., 83 (1977), pp. 1033-1036. | MR 448408 | Zbl 0375.49016

[17] J. Sacks - K. Uhlenbeck, The existence of minimal immersions of 2-spheres, Ann. of Math., 113 (1981),pp 1-24. | MR 604040 | Zbl 0462.58014

[18] J. Sacks - K. Uhlenbeck, Minimal immersions of closed Riemann surfaces, to appear. | MR 654854 | Zbl 0527.58008

[19] R. Schoen - S.-T. Yau, Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature, Ann. of Math., 110 (1979), pp. 127-142. | MR 541332 | Zbl 0431.53051

[20] E.H. Spanier, Algebraic topology, McGraw Hill (1966). | MR 210112 | Zbl 0145.43303

[21] G. Springer, Introduction to Riemann surfaces, Addison-Wesley (1957). | MR 92855 | Zbl 0078.06602