@article{AIHPC_1985__2_2_119_0, author = {Benci, V. and Coron, J. M.}, title = {The {Dirichlet} problem for harmonic maps from the disk into the euclidean n-sphere}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {119--141}, publisher = {Gauthier-Villars}, volume = {2}, number = {2}, year = {1985}, mrnumber = {794003}, zbl = {0597.35022}, language = {en}, url = {http://www.numdam.org/item/AIHPC_1985__2_2_119_0/} }
TY - JOUR AU - Benci, V. AU - Coron, J. M. TI - The Dirichlet problem for harmonic maps from the disk into the euclidean n-sphere JO - Annales de l'I.H.P. Analyse non linéaire PY - 1985 SP - 119 EP - 141 VL - 2 IS - 2 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPC_1985__2_2_119_0/ LA - en ID - AIHPC_1985__2_2_119_0 ER -
%0 Journal Article %A Benci, V. %A Coron, J. M. %T The Dirichlet problem for harmonic maps from the disk into the euclidean n-sphere %J Annales de l'I.H.P. Analyse non linéaire %D 1985 %P 119-141 %V 2 %N 2 %I Gauthier-Villars %U http://www.numdam.org/item/AIHPC_1985__2_2_119_0/ %G en %F AIHPC_1985__2_2_119_0
Benci, V.; Coron, J. M. The Dirichlet problem for harmonic maps from the disk into the euclidean n-sphere. Annales de l'I.H.P. Analyse non linéaire, Volume 2 (1985) no. 2, pp. 119-141. http://www.numdam.org/item/AIHPC_1985__2_2_119_0/
[A] Équations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire. J. Math. Pures et Appl., t. 55, 1976, p. 269-296. | MR | Zbl
,[BC1] Multiple solutions of H-systems and Rellich's conjecture. Comm. Pure Appl. Math. t. XXXVII, 1984, p. 149-187. | MR | Zbl
, ,[BC2] Large solutions for harmonic maps in two dimensions, Comm. Math. Phys. t. 92, 1983, p. 203-215. | MR | Zbl
, ,[BN] Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents. Comm. Pure Appl. Math. t. XXXVI, 1983, p. 437- 477. | MR | Zbl
, ,[C] Minimal immersions of surfaces in Euclidean spheres. J. Diff. Geometry, t. 1, 1967, p. 111-125. | MR | Zbl
,[GOR] A theory of branched immersions of surfaces. Amer. J. Math., t. 95, 1973, p. 750-812. | MR | Zbl
, , ,[GT] Elliptic Partial Differential Equations of Second Order. Springer-Verlag, Berlin-Heidelberg-New York, 1977. | MR | Zbl
, ,[HW] Some regularity results for quasilinear elliptic systems of second order. Math. Z., t. 142, 1975, p. 67-86. | MR | Zbl
, ,[J] The Dirichlet problem for harmonic maps from a surface with boundary onto a 2-sphere with nonconstant boundary values. J. Diff. Geometry (to appear). | MR | Zbl
,[LU1] Linear and Quasilinear Elliptic Equations. New York and London: Academic Press, 1968. | MR | Zbl
, ,[LU2] Linear and quasilinear elliptic equations, second Russian edition, Moscow, Nauka, 1973.
, ,[LM] Applications harmoniques de surfaces riemanniennes. J. Diff. Geometry, t. 13, 1978, p. 51-78. | MR | Zbl
,[LB] Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities. Annals of Math. (to appear). | MR | Zbl
,[LN] The concentration compactness principle in the calculus of variations the limit case. Riv. Iberoamericana (to appear) and Comptes Rendus Acad. Sc. Paris, t. 296, série I, 1983, p. 645-648. | MR | Zbl
,[M1] On the solutions of quasi-linear elliptic partial differential equations. Trans. Amer. Math. Soc., t. 43 1938, p. 126-166. | MR | Zbl
,[M2] Multiple Integrals in the Calculus of Variations. Springer-Verlag, Berlin-Heidelberg-New York, 1966. | MR | Zbl
,[N] On nonlinear elliptic partial differential equations and Hölder continuity. Comm. Pure App. Math., t. 6, 1953, p. 103-156. | MR | Zbl
,[SU1] The existence of minimal immersions of 2-spheres. Annals of Math., t. 113, 1981, p. 1-24. | MR | Zbl
, ,[SU2] Boundary regularity and the Dirichlet problem for harmonic maps. J. Diff. Geometry, t. 18, 1983, p. 253-268. | MR | Zbl
, ,[St] Nonuniqueness in the Plateau problem for surfaces of constant mean curvature (to appear). | MR | Zbl
,[T] The existence of a non-minimal solution to the SU(2) Yang-Mills-Higgs equations on R3 (to appear). | Zbl
,[W1] The differential equation Δx = 2Hxu ^ xv with vanishing boundary values. Proc. A. M. S., t. 50, 1975, p. 131-137. | MR | Zbl
,[W2] The Dirichlet problem with a volume constraint. Manuscripta Math., t. 11, 1974, p. 141-157. | MR | Zbl
,[Wi] A-priori Schranken für Lösungen gewisser elliptischer Systeme. Math. Z., t. 147, 1976, p. 21-28. | MR | Zbl
,