@article{AIHPC_1998__15_1_25_0,
author = {Fardoun, Ali},
title = {On equivariant $p$-harmonic maps},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
pages = {25--72},
year = {1998},
publisher = {Gauthier-Villars},
volume = {15},
number = {1},
mrnumber = {1614611},
zbl = {0919.58018},
language = {en},
url = {https://www.numdam.org/item/AIHPC_1998__15_1_25_0/}
}
Fardoun, Ali. On equivariant $p$-harmonic maps. Annales de l'I.H.P. Analyse non linéaire, Tome 15 (1998) no. 1, pp. 25-72. https://www.numdam.org/item/AIHPC_1998__15_1_25_0/
[1] , Stability and uniqueness properties of the equator map from a ball into an ellipsoid, Math. Z., Vol. 185, 1984, pp. 505-516. | Zbl | MR
[2] , Symmetric harmonic maps between spheres, Comm. Math. Phys., 1988, pp. 641-649. | Zbl | MR
[3] , Regularity of p-harmonic maps into a closed hemisphere, Bolletino U.M.I., Vol. 7, 5-B, 1991, pp. 157-170. | Zbl | MR
[4] and , On removable singularities of p-harmonic maps, Ann. Inst. Poincaré Anal. Non Linéaire, Vol. 7, 1990, pp. 385-405. | Zbl | MR | Numdam
[5] and , Anoter report on harmonic maps, Bull. London Math. Soc., Vol. 20, 1988, pp. 385-524. | Zbl | MR
[6] and , Harmonic maps and minimal immersions with symmetries, Annals of Math. Studies, Vol. 130, Princeton Univ. Press, 1993. | Zbl | MR
[7] , 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. | Zbl | MR
[8] and , Mapping minimizing the Lp norm of the gradient, Comm. Pure Appl. Math., Vol. 40, 1987, pp. 555-588. | Zbl | MR
[9] , Ordinary differential equations, J. Wiley, New York, 1964. | Zbl | MR
[10] and , Non existence results and growth properties for harmonic maps and forms, J. Reine. Angew. Math., Vol. 353, 1984, pp. 165-180. | Zbl
[11] and , 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. | Zbl | MR
[12] and , Linear and quasilinear elliptic equations, Academic Press, New York, 1968. | Zbl | MR
[13] , Stability theory for ordinary differential equations, J. Differential Equations, Vol. 4, 1968, pp. 57-65. | Zbl | MR
[14] , Applications harmoniques de surfaces riemanniennes, J. Differential Geometry, Vol. 13, 1978, pp. 51-78. | Zbl | MR
[15] , 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. | Zbl | MR
[16] , Harmonic mappings of spheres, Amer. J. Math., 1975, pp. 364-384. | Zbl | MR
[17] , A construction of m-harmonic maps of spheres, International Journal of Math., Vol. 4, No. 3, 1993, pp. 521-533. | Zbl | MR





