Some properties of exponentially harmonic maps
Eells, James ; Lemaire, Luc
Banach Center Publications, Tome 27 (1992), p. 129-136 / Harvested from The Polish Digital Mathematics Library
Publié le : 1992-01-01
EUDML-ID : urn:eudml:doc:262631
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     author = {Eells, James and Lemaire, Luc},
     title = {Some properties of exponentially harmonic maps},
     journal = {Banach Center Publications},
     volume = {27},
     year = {1992},
     pages = {129-136},
     zbl = {0799.58021},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv27z1p129bwm}
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Eells, James; Lemaire, Luc. Some properties of exponentially harmonic maps. Banach Center Publications, Tome 27 (1992) pp. 129-136. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv27z1p129bwm/

[000] [1] G. Aronsson, Extension of functions satisfying Lipschitz conditions, Ark. Mat. 6 (1967), 551-561. | Zbl 0158.05001

[001] [2] G. Aronsson, On certain singular solutions of the partial differential equation ux2uxx+2uxuyuxy+uy2uyy=0, Manuscripta Math. 47 (1984), 133-151.

[002] [3] P. Baird and J. , Eells, A conservation law for harmonic maps, in: Geometry Symp. Utrecht 1980, Lecture Notes in Math. 894, Springer 1981, 1-25.

[003] [4] M. Carpenter, The calculus of variations on a Riemannian manifold: regularity theory and the status of the Euler-Lagrange necessary condition, M.Sc. dissertation, Warwick 1991.

[004] [5] D. M. Duc and J. Eells, Regularity of exponentially harmonic functions, Internat. J. Math., to appear. | Zbl 0751.58007

[005] [6] J. Eells and L. Lemaire, Selected topics in harmonic maps, CBMS Regional Conf. Ser. Math. 50, Amer. Math. Soc., 1983. | Zbl 0515.58011

[006] [7] J. Eells and L. Lemaire, Another report on harmonic maps, Bull. London Math. Soc. 20 (1988), 385-524. | Zbl 0669.58009

[007] [8] M. Giaquinta, Multiple Integrals in the Calculus of Variations and Non-linear Elliptic Theory, Ann. of Math. Stud. 105, Princeton Univ. Press 1983.

[008] [9] C. Morrey, Multiple Integrals in the Calculus of Variations, Grundlehren Math. Wiss. 130, Springer, 1966. | Zbl 0142.38701

[009] [10] R. Schoen, Analytic aspects of the harmonic map problem, in: Math. Sci. Res. Inst. Publ. 2, Springer, 1984, 321-358.

[010] [11] J. Serrin, The problem of Dirichlet for quasilinear elliptic differential equations with many independent variables, Philos. Trans. Roy. Soc. London A 264 (1969), 413-496. | Zbl 0181.38003

[011] [12] L. M. Sibner and R. J. Sibner, A non-linear Hodge-de Rham theorem, Acta Math. 125 (1970), 57-73. | Zbl 0216.45703

[012] [13] R. T. Smith, The second variation formula for harmonic mappings, Proc. Amer. Math. Soc. 47 (1975), 229-236. | Zbl 0303.58008