On equivariant p-harmonic maps
Annales de l'I.H.P. Analyse non linéaire (1998)
- Volume: 15, Issue: 1, page 25-72
- ISSN: 0294-1449
Access Full Article
topHow to cite
topFardoun, Ali. "On equivariant p-harmonic maps." Annales de l'I.H.P. Analyse non linéaire 15.1 (1998): 25-72. <http://eudml.org/doc/78431>.
@article{Fardoun1998,
author = {Fardoun, Ali},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {Dirichlet problem; equivariant -harmonic maps; Euclidean ball; spheres; ellipsoids},
language = {eng},
number = {1},
pages = {25-72},
publisher = {Gauthier-Villars},
title = {On equivariant p-harmonic maps},
url = {http://eudml.org/doc/78431},
volume = {15},
year = {1998},
}
TY - JOUR
AU - Fardoun, Ali
TI - On equivariant p-harmonic maps
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1998
PB - Gauthier-Villars
VL - 15
IS - 1
SP - 25
EP - 72
LA - eng
KW - Dirichlet problem; equivariant -harmonic maps; Euclidean ball; spheres; ellipsoids
UR - http://eudml.org/doc/78431
ER -
References
top- [1] A. Baldes, Stability and uniqueness properties of the equator map from a ball into an ellipsoid, Math. Z., Vol. 185, 1984, pp. 505-516. Zbl0513.58021MR733770
- [2] W.Y. Ding, Symmetric harmonic maps between spheres, Comm. Math. Phys., 1988, pp. 641-649. Zbl0672.58009MR962492
- [3] F. Duzaar, Regularity of p-harmonic maps into a closed hemisphere, Bolletino U.M.I., Vol. 7, 5-B, 1991, pp. 157-170. Zbl0737.49028MR1110673
- [4] F. Duzaar and M. Fuchs, On removable singularities of p-harmonic maps, Ann. Inst. Poincaré Anal. Non Linéaire, Vol. 7, 1990, pp. 385-405. Zbl0715.49040MR1138529
- [5] J. Eells and L. Lemaire, Anoter report on harmonic maps, Bull. London Math. Soc., Vol. 20, 1988, pp. 385-524. Zbl0669.58009MR956352
- [6] J. Eells and A. Ratto, Harmonic maps and minimal immersions with symmetries, Annals of Math. Studies, Vol. 130, Princeton Univ. Press, 1993. Zbl0783.58003MR1242555
- [7] A. Fardoun, Sur le problème de Dirichlet pour les applications p-harmoniques de la boule dans l'ellipsoide, C. R. Acad. Sci., Paris, t. 321, Série I, 1995, pp. 1189-1194. Zbl0835.31007MR1360781
- [8] R. Hardt and F.H. Lin, Mapping minimizing the Lp norm of the gradient, Comm. Pure Appl. Math., Vol. 40, 1987, pp. 555-588. Zbl0646.49007MR896767
- [9] P. Hartman, Ordinary differential equations, J. Wiley, New York, 1964. Zbl0125.32102MR171038
- [10] J. Karcher and J.C. Wood, Non existence results and growth properties for harmonic maps and forms, J. Reine. Angew. Math., Vol. 353, 1984, pp. 165-180. Zbl0544.58008
- [11] W. Jä Ger and H. Kaul, Rotationally symmetric harmonic maps from a ball into a sphere and the regularity problem for weak solutions of elliptic systems, J. Reine. Angew. Math., Vol. 343, 1983, pp. 146-161. Zbl0516.35032MR705882
- [12] O.A. Ladyzhenskaya and N.N. Uraltseva, Linear and quasilinear elliptic equations, Academic Press, New York, 1968. Zbl0164.13002MR244627
- [13] J.P. Lasalle, Stability theory for ordinary differential equations, J. Differential Equations, Vol. 4, 1968, pp. 57-65. Zbl0159.12002MR222402
- [14] L. Lemaire, Applications harmoniques de surfaces riemanniennes, J. Differential Geometry, Vol. 13, 1978, pp. 51-78. Zbl0388.58003MR520601
- [15] A. Ratto, On the Dirichlet problem for harmonic maps into spheres or ellipsoids and equivariant harmonic maps from warped products, Bull. Soc. Math. Belgique, Vol. 41, 1989, 2-SERB, pp. 145-168. Zbl0686.58011MR1022743
- [16] R.T. Smith, Harmonic mappings of spheres, Amer. J. Math., 1975, pp. 364-384. Zbl0321.57020MR391127
- [17] X.W. Xu and P. C. Yang, A construction of m-harmonic maps of spheres, International Journal of Math., Vol. 4, No. 3, 1993, pp. 521-533. Zbl0786.58011MR1228587
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.