@article{AIHPC_2005__22_4_509_0,
author = {Wang, Chang You},
title = {A compactness theorem of $n$-harmonic maps},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
pages = {509--519},
year = {2005},
publisher = {Elsevier},
volume = {22},
number = {4},
doi = {10.1016/j.anihpc.2004.10.007},
zbl = {02191852},
language = {en},
url = {https://www.numdam.org/articles/10.1016/j.anihpc.2004.10.007/}
}
TY - JOUR AU - Wang, Chang You TI - A compactness theorem of $n$-harmonic maps JO - Annales de l'I.H.P. Analyse non linéaire PY - 2005 SP - 509 EP - 519 VL - 22 IS - 4 PB - Elsevier UR - https://www.numdam.org/articles/10.1016/j.anihpc.2004.10.007/ DO - 10.1016/j.anihpc.2004.10.007 LA - en ID - AIHPC_2005__22_4_509_0 ER -
Wang, Chang You. A compactness theorem of $n$-harmonic maps. Annales de l'I.H.P. Analyse non linéaire, Tome 22 (2005) no. 4, pp. 509-519. doi: 10.1016/j.anihpc.2004.10.007
[1] , Weak limits of Palais-Smale sequences for a class of critical functionals, Calc. Var. Partial Differential Equations 1 (3) (1993) 267-310. | Zbl | MR
[2] , On the singular set of stationary harmonic maps, Manuscripta Math. 78 (1993) 417-443. | Zbl | MR
[3] , The weak solutions to the evolution problems of harmonic maps, Math. Z. 201 (1) (1989) 69-74. | Zbl | MR
[4] , , , , Compensated compactness and Hardy spaces, J. Math. Pures Appl. 72 (1993) 247-286. | Zbl | MR
[5] , Partial regularity for stationary harmonic maps into spheres, Arch. Rational Mech. Anal. 116 (1991) 101-113. | Zbl | MR
[6] , Weak Convergence Methods for Nonlinear Partial Differential Equations, CBMS Regional Conf. Ser. in Math., vol. 74, 1990. | Zbl | MR
[7] , , Measure Theory and Fine Properties of Functions, Stud. Adv. Math., CRC Press, Boca Raton, FL, 1992. | Zbl | MR
[8] , , spaces of several variables, Acta Math. 129 (1972) 137-193. | Zbl | MR
[9] , , , Weak convergence of wave maps from (1+2)-dimensional Minkowski space to Riemannian manifolds, Invent. Math. 130 (3) (1997) 589-617. | Zbl | MR
[10] , , , Weak compactness of wave maps and harmonic maps, Ann. Inst. H. Poincaré Anal. Non Linéaire 15 (6) (1998) 725-754. | Zbl | MR | Numdam
[11] , The blow-up of p-harmonic maps, Manuscripta Math. 81 (1-2) (1993) 89-94. | Zbl | MR
[12] , Regularite des applications faiblement harmoniques entre une surface et variete riemannienne, C. R. Acad. Sci. Paris 312 (1991) 591-596. | Zbl | MR
[13] , , Mappings minimizing the norm of the gradient, Comm. Pure Appl. Math. 40 (5) (1987) 555-588. | Zbl | MR
[14] , , , Strong convergence of p-harmonic mappings, in: Progress in Partial Differential Equations: The Metz Surveys, 3, Pitman Res. Notes Math. Ser., vol. 314, Longman Sci. Tech., Harlow, 1994, pp. 58-64. | Zbl | MR
[15] , Harmonic Maps, Conservation Laws and Moving Frames, Cambridge Tracts in Math., vol. 150, Cambridge Univ. Press, Cambridge, 2002. | Zbl | MR
[16] , m-harmonic flow, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 24 (4) (1997) 593-631, (1998). | Zbl | MR | Numdam
[17] , , Quasiregular mappings in even dimensions, Acta Math. 170 (1) (1993) 29-81. | Zbl | MR
[18] , , On functions of bounded mean oscillation, Comm. Pure Appl. Math. 14 (1961) 415-426. | Zbl | MR
[19] , The concentration-compactness principle in the calculus of variations: the limit case, I, Rev. Mat. Iberoamericana 1 (1) (1985) 145-201. | Zbl | MR
[20] , The concentration-compactness principle in the calculus of variations: the limit case, II, Rev. Mat. Iberoamericana 1 (2) (1985) 45-121. | Zbl | MR
[21] , Convergence of minimizers for the p-Dirichlet integral, Math. Z. 213 (3) (1993) 449-456. | Zbl | MR
[22] , , The existence of minimal immersions of 2-spheres, Ann. of Math. 113 (1981) 1-24. | Zbl | MR
[23] , , A regularity theory for harmonic maps, J. Differential Geom. 17 (2) (1982) 307-335. | Zbl | MR
[24] , Weak solutions and development of singularities of the σ-model, Comm. Pure Appl. Math. 41 (4) (1988) 459-469. | Zbl
[25] , , A compactness theorem for weak solutions of higher-dimensional H-systems, Duke Math. J. 121 (2) (2004) 269-284. | Zbl | MR
[26] , , Compactness properties of weakly p-harmonic maps into homogeneous spaces, Indiana Univ. Math. J. 44 (1) (1995) 87-113. | Zbl | MR
[27] , Connections with -bounds on curvature, Comm. Math. Phys. 83 (1982) 31-42. | Zbl | MR
[28] , Bubble phenomena of certain Palais-Smale sequences from surfaces to general targets, Houston J. Math. 22 (3) (1996) 559-590. | Zbl | MR
[29] , Stationary biharmonic maps from into a Riemannian manifold, Comm. Pure Appl. Math. LVII (2004) 0419-0444. | Zbl | MR
[30] , Biharmonic maps from into a Riemannian manifold, Math. Z. 247 (1) (2004) 65-87. | Zbl | MR
Cité par Sources :





