@article{SEDP_1982-1983____A14_0, author = {Lions, P. L.}, title = {La m\'ethode de concentration-compacit\'e en calcul des variations}, journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"}, note = {talk:14}, pages = {1--15}, publisher = {Ecole Polytechnique, Centre de Math\'ematiques}, year = {1982-1983}, mrnumber = {716902}, language = {fr}, url = {http://www.numdam.org/item/SEDP_1982-1983____A14_0/} }
TY - JOUR AU - Lions, P. L. TI - La méthode de concentration-compacité en calcul des variations JO - Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" N1 - talk:14 PY - 1982-1983 SP - 1 EP - 15 PB - Ecole Polytechnique, Centre de Mathématiques UR - http://www.numdam.org/item/SEDP_1982-1983____A14_0/ LA - fr ID - SEDP_1982-1983____A14_0 ER -
%0 Journal Article %A Lions, P. L. %T La méthode de concentration-compacité en calcul des variations %J Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" %Z talk:14 %D 1982-1983 %P 1-15 %I Ecole Polytechnique, Centre de Mathématiques %U http://www.numdam.org/item/SEDP_1982-1983____A14_0/ %G fr %F SEDP_1982-1983____A14_0
Lions, P. L. La méthode de concentration-compacité en calcul des variations. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1982-1983), Exposé no. 14, 15 p. http://www.numdam.org/item/SEDP_1982-1983____A14_0/
[1] Problèmes isopérimétriques et espaces de Sobolev. J. Diff. Geom., 11 (1976), p. 573-598. | MR | Zbl
:[2] Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire. J. Math. Pures Appl., 55 (1976), p. 269-296. | MR | Zbl
:[3] Non linear scalar fields equations, I et II. Arch. Rat. Mech. Anal., (1983). | Zbl
et :[4] On the existence and structure of stationary states for a non linear Klein-Gordon equation. J. Funct. Anal., 9 (1972), p. 249-261. | MR | Zbl
:[5] A relation between pointwise convergence of functions and convergence of functionals. A paraître dans Proc. Amer. Math. Soc. | Zbl
et :[6] Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents. Preprint. | MR | Zbl
et :[7] Orbital stability of standing waves for some non linear Schrödinger equations. Comm. Math. Phys., 85 (1982), p. 549-561. | MR | Zbl
et :[8] Action minima among solutions to a class of euclidean scalar field equations. Comm. Math. Phys., 58 (1978), p.211-221. | MR
, et :[9] Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities. Preprint.
:[10] Principe de concentration-compacité en calcul des variations. C. R. Acad. Sc. Paris, 294 (1982), p. 261-264. | MR | Zbl
:[11] The concentration-compactness principle in the Calculus of Variations; I. The locally compact case. A paraître dans Ann. I.H.P., Anal. Non Lin., 1984. | Numdam
:[12] On the concentration-compactness principle. A paraître dans Contributions to Nonlinear Partial Differential Equations, Pitman, Londres, 1983. | MR | Zbl
:[13] Applications de la méthode de concentration-compacité à l'existence de fonctions extrêmales. C. R. Acad. Sc. Paris, 1983. | Zbl
:[14] The concentration-compactness principle in the calculus of variations; II. The limit case. | Zbl
:[15] Minimum value for c in the Sobolev inequality ∥Ø∥6≤C∥Ø∥2. SIAM J. Appl. Math., 21 (1971), p.30-32. | Zbl
:[16] The existence of minimal immersions of 2-spheres. Ann. Math.,113 (1981), p.1-24. | MR | Zbl
et :[17] A direct method for minimizing the Yang-Mills functional over 4-manifolds. Comm. Math. Phys., 86 (1982), p. 515-528. | MR | Zbl
:[18] Existence of solitary waves in higher dimensions. Comm. Math. Phys. 55, (1977), p. 149-162. | MR | Zbl
:[19] Self-focusing of very powerful laser beams. U.S. Dept. of Commerce N.B.S. special publications, 287.
:[20] Best constant in Sobolev inequality. Ann. di Matem. Pura Appl., 110 (1976), p. 353-372. | MR | Zbl
:[21] Remarks concerning the conformal deformation of Riemannian structures on compact manifolds. Ann. Sc. Norm. Sup. Pisa, 22 (1968), p.265-274. | Numdam | MR | Zbl
:[22] On a deformation of Riemannian structures on compact manifolds. Osaka Math. J., 12 (1960), p. 21-37. | MR | Zbl
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