@article{AIHPC_1984__1_2_79_0, author = {Giaquinta, Mariano and Giusti, Enrico}, title = {Quasi-minima}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {79--107}, publisher = {Gauthier-Villars}, volume = {1}, number = {2}, year = {1984}, mrnumber = {778969}, zbl = {0541.49008}, language = {en}, url = {http://archive.numdam.org/item/AIHPC_1984__1_2_79_0/} }
Giaquinta, Mariano; Giusti, Enrico. Quasi-minima. Annales de l'I.H.P. Analyse non linéaire, Tome 1 (1984) no. 2, pp. 79-107. http://archive.numdam.org/item/AIHPC_1984__1_2_79_0/
[1] Semicontinuity Problems in the Calculus of Variations. Arch. Rat. Mech. Anal., to appear. | MR | Zbl
, ,[2] Homeomorphic solutions of Beltrami systems. Dokl. Akad. Nauk SSR, t. 102, 1955, p. 661-664. | MR
,[3] Generalized solutions of a system of differential equations of the first order of elliptic type with discontinuous coefficients. Mat. Sbornik, t. 43, 1957, p. 451-503. | MR
,[4] Sulla differenziabilità e l'analiticità delle estremali degli integrali multipli regolari, Mem. Accad. Sci. torino cl. Sci. Fis. Mat. Nat., (3), t. 3, 1957, p. 25-43. | MR | Zbl
,[5] Generalized limits in Calculus of Variations, in « Topics in Functional Analysis 1980-1981 ». Quaderni Scuola Norm. Sup. Pisa, 1981. | MR | Zbl
,[6] Nonconvex minimization problems. Bull. Amer. Math. Soc., t. 1, 1979, p. 443-474. | MR | Zbl
,[7] A discontinuous solution of a mildly nonlinear elliptic system. Math. Z., t. 134, 1973, p. 229-230. | MR | Zbl
,[8] Quasi-convessità e semicontinuità per integrali multipli di ordine superiore. Ricerche di Mat., t. 29, 1980, p. 307-323. | Zbl
,[9] The Lp-integrability of the partial derivatives of a quasi conformal mapping. Acta Math., t. 130, 1973, p. 265-277. | MR | Zbl
,[10] Multiple integrals in the Calculus of Variations and Nonlinear Elliptic Systems. Annals of Math. Studies, t. 105, Princeton University Press, 1983. | MR | Zbl
,[11] On the differentiability of the extremals of variational integrals, in « Nonlinear Analysis, Function Spaces and Application 2 », Teubner Texte zur Mathem., Leipzig, 1982. | MR | Zbl
,[12] On the regularity of the minima of variational integrals. Acta Math., t. 148, 1982, p. 31-46. | MR | Zbl
, ,[13] Differentiability of minima of non-differentiable functionals. Inventiones Math., t. 72, 1983, p. 285-298. | MR | Zbl
, ,[14] Regularity results for some classes of higher order nonlinear elliptic systems. J. für reine u. angew. Math., t. 311-312, 1979, p. 145-169. | MR | Zbl
, ,[15] Some regularity results for quasilinear elliptic systems of second order. Math. Z., t. 142, 1975, p. 67-86. | MR | Zbl
, ,[16] Linear and quasilinear elliptic equations. Academic Press, New York, 1968. | MR | Zbl
, ,[17] On the existence of minima of multiple integrals of the Calculus of Variations. J. Math. pures et appl., t. 62, 1983, p. 1-9. | MR | Zbl
, ,[18] An Lp-estimate for the gradient of solutions of second order elliptic divergence equations. Ann. Sc. Norm. Sup. Pisa, (3), t. 17, 1963, p. 189-206. | Numdam | MR | Zbl
,[19] Some results on regularity for solutions of nonlinear elliptic systems and quasiregular functions. Duke Math. J., t. 42, 1975, p. 121-136. | MR | Zbl
, ,[20] Les Méthodes directes en théorie des equations elliptiques, Praha, Akademia, 1967. | MR
.[21] Extremal properties of mappings with bounded distortion. Siberian Math. J. (transl. of Sibirsk Mat. Z.), t. 10, 1969, p. 962-969. | Zbl
,[22] Su alcune applicazioni di un tipo di convergenza variazionale. Ann. Sc. Norm. Sup. Pisa, (4), t. 2, 1975, p. 617-638. | Numdam | MR | Zbl
,[23] Local behaviour of solutions of quasilinear equations. Acta Math., t. 111, 1964, p. 247-302. | MR | Zbl
,