@article{JEDP_1993____A1_0, author = {B\'ethuel, Fabrice and Ghidaglia, Jean-Michel}, title = {R\'egularit\'e des solutions de certaines \'equations elliptiques en dimension deux et formule de la co-aire}, journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles}, year = {1993}, pages = {1-36}, mrnumber = {94k:35044}, zbl = {0812.35037}, language = {fr}, url = {http://dml.mathdoc.fr/item/JEDP_1993____A1_0} }
Béthuel, Fabrice; Ghidaglia, Jean-Michel. Régularité des solutions de certaines équations elliptiques en dimension deux et formule de la co-aire. Journées équations aux dérivées partielles, (1993), pp. 1-36. http://gdmltest.u-ga.fr/item/JEDP_1993____A1_0/
[1] Un phénomène de concentration évanescente pour des flots non-stationnaires incompressibles en dimension deux, Com. Math. Phys., 127 (1990) 585-596. | MR 91d:35171 | Zbl 0695.76018
,[2] Un résultat de régularité pour les solutions de l'équation des surfaces à courbure moyenne prescrite. C.R. Acad. Sci. Paris 314 (1992) p. 1003-1007. | MR 93g:53011 | Zbl 0795.35024
,[3] Weak limits of solutions to the incompressible 2D-Euler equation in a bounded domain, Asymptotic Analysis à paraître et Prépublications du CMLA 9210, Cachan, France 1992. | Zbl 0808.76014
et ,[4] Improved regularity of solutions to elliptic equations involving jacobians and applications, J. Math. Pures et Appliquées, en impression, 72, 1993. | MR 94i:35038 | Zbl 0831.35025
et ,[5] Regularity for solutions to the equations of surfaces of prescribed mean curvature using the coarea formula, à paraître et Prépublication 9309 du CMLA, Cachan, 1993.
et ,[6] Sharp L∞-estimates for Stokes operator in two dimensions, Prépublication 9318 du CMLA, Cachan 1993.
et ,[7] Large solutions for the equation of surfaces of prescribed mean curvature, «A tribute in honor of J. DOUGLAS and T. RADO», T. Rassias Ed., à paraître et Prépublication du CMLA 9218, Cachan, 1992. | Zbl 0878.35042
et ,[8] Espaces et lignes de Green, Ann. Inst. Fourier, 3, 199-263, 1951. | Numdam | MR 16,34e | Zbl 0046.32701
et ,[9] Multiple solutions of H-systems and Rellich's conjecture, Comm. Pure Appl. Math., 37, 149-187, 1984. | MR 85i:53010 | Zbl 0537.49022
et ,[10] Continuity of solutions of uniformly elliptic equations in ℝ2, Manuscripta Math. à paraître. | Zbl 0797.35031
et ,[11] Problèmes elliptiques avec second membre jacobien et condition de Neumann au bord, à paraître.
,[12] Compacité par compensation et espaces de Hardy, C.R. Acad. Sci. Paris, 311, 519-524, 1990, and Compensated compactness and Hardy spaces, Prépublication CEREMADE, 9123, Université Paris IX, 1991. | Zbl 0705.46015
, , , ,[13] Reduced Hausdorff dimension and concentration-cancellation for two dimensional incompressible flow, J. of Amer. Math. Soc., 1 (1988) 59-95. | MR 89e:35126 | Zbl 0707.76026
et ,[14] Weak convergence methods for nonlinear partial differential equations, CBMS # 74, A.M.S. Providence, (1990). | MR 91a:35009 | Zbl 0698.35004
,[15] Partial regularity for stationary harmonic maps into spheres, Preprint 1991. | MR 93m:58026 | Zbl 0754.58007
,[16] Characterizations of bounded mean oscillations, Bull. Amer. Math. Soc., 77, 1971, p. 587-588. | MR 43 #6713 | Zbl 0229.46051
,[17] Hp spaces of several variables, Acta Maths., 19, 1972, p. 137-193. | Zbl 0257.46078
et ,[18] Geometric measure theory, Springer-Verlag, Berlin, 1969. | MR 41 #1976 | Zbl 0176.00801
,[19] Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic systems, Princeton University Press, 1983. | MR 86b:49003 | Zbl 0516.49003
,[20] Uber die regularität schwarcher Lösungen nicht linear elliptisher systeme, Nachr. Akad. Wiss. Gottingen II. Mathematisch Physikalissche Klasse 1, 1-13, 1975.
,[21] Régularité des applications faiblement harmoniques entre une surface et une sphère, C.R. Acad. Sci. Paris., 311, Série I, 519-524, 1990. | MR 92a:58034 | Zbl 0728.35014
,[22] Two dimensional variational Problems with obstructions, and Plateau's problem for H-surfaces in a Riemannian Manifolds, Comm. Pure. Applied Math. 25 (1972), p. 187-223. | MR 45 #5888 | Zbl 0245.53006
et ,[23] Ondelettes et Opérateurs I, Hermann, Paris, 1990. | Zbl 0694.41037
,[24] Isoperimetric inequalities and the problem of Plateau, Math. Ann., 222 (1976), 97-144. | MR 54 #5951 | Zbl 0345.49024
,[25] Singular Integrals and Differentiability Properties of Functions, Princeton University Press, Princeton, 1970. | MR 44 #7280 | Zbl 0207.13501
,[26] Bermerkungen zum regularitäts problem der Gleichung vergesehriebener Krümmung, Math Z, 132 (1973) p. 323-326. | MR 48 #692 | Zbl 0258.35022
,[27] An existence theorem for surfaces of constant mean curvature, J. Math. Anal. Appl., 26, (1989) p. 318-344. | MR 39 #4788 | Zbl 0181.11501
,[28] Weakly Differentiable Functions, Springer-Verlag, 1989. | MR 91e:46046 | Zbl 0692.46022
,[29] Elliptic partial differential equations of second order, Springer-Verlag, Berlin, 1983. | Zbl 0562.35001
et ,