@article{SJL_1963-1964___3_1_0,
author = {Stampacchia, Guido},
title = {\'Equations elliptiques du second ordre \`a coefficients discontinus},
journal = {S\'eminaire sur les \'equations aux d\'eriv\'ees partielles},
pages = {1--77},
year = {1963-1964},
publisher = {Coll\`ege de France},
number = {3},
language = {fr},
url = {https://www.numdam.org/item/SJL_1963-1964___3_1_0/}
}
TY - JOUR AU - Stampacchia, Guido TI - Équations elliptiques du second ordre à coefficients discontinus JO - Séminaire sur les équations aux dérivées partielles PY - 1963-1964 SP - 1 EP - 77 IS - 3 PB - Collège de France UR - https://www.numdam.org/item/SJL_1963-1964___3_1_0/ LA - fr ID - SJL_1963-1964___3_1_0 ER -
Stampacchia, Guido. Équations elliptiques du second ordre à coefficients discontinus. Séminaire sur les équations aux dérivées partielles, no. 3 (1963-1964), pp. 1-77. https://www.numdam.org/item/SJL_1963-1964___3_1_0/
[1] , On the Green's function for second order parabolic differential équations with discontinuous coefficients. Bull. of the Amer. Math. Soc. vol. 69 (1963) pp.841-847. | Zbl | MR
[2] , Sulla differenziabilità e l'analicità delle estremali degli integrali multipli regolari. Mem. Accad. Sc. Torino (3) 3 (1957) pp. 25-43. | Zbl | MR
[3] , Boundary value problems for nonlinear elliptic equations in n variables. Symposium on Nonlinear Problems, Madison, Wisconsin, (1962). | Zbl | MR
[4] , Sulla regolarizzazione delle soluzioni deboli dei problemi al contorno per operatori parabolici. Ricerche di Matem., vol. XII (1963) pp.44-66. | Zbl | MR
[5] , and Inequalities, Cambridge, 1952. | Zbl | MR
[6] and , On functions of bounded mean oscillation. Comm. Pure Appl. Math. 14 (1960), pp.93-140. | Zbl | MR
[7] et , Quasi-linear elliptic equations and variational problems with many independent variables. Russian Math. Surveys, London Math. Soc. (16) 1 (1961), pp. 17-91. | Zbl
[8] ----- On the smoothness of weak solutions of quasi-linear équations in several variables and of variational problems. Comm. Pure Appl. Math. 14 (1961), pp. 481-495. | Zbl | MR
[9] ----- A boundary-value problem for linear and quasi-linear parabolic equations, I, Izv. Akad. Nauk SSSR Sez. Mat. 26 (1962), pp.5-52, (Russian). | Zbl
[10] , and , Regular points for elliptic équations with discontinuous coefficients. Ann. Sc. Norm. Sup. Pira - S III (XVII) (1963), pp. 45-79. | Zbl | MR | Numdam
[11] , An Lp estimate for the gradient of solutions of second order elliptic divergence structure équations. Ann. Sc. Norm. Sup. Pisa 17 (1963), pp. 189-206. | Zbl | MR | Numdam
[12] , Second order elliptic équations in several variables and Hölder continuity. Math. Z. 72 (1952), pp. 146-164. | Zbl | MR
[13] , Existence and differentiability theorem for variational problems for multiple integrals - Conf. on Partial Diff. Equations and Continuum Mechanics. Univ. of Wisconsin Press, Madison, Wisc. 1961. | Zbl | MR
[ 14 ] , A new proof of De Giorgi's theorem concerning the regularity problem for elliptic differontial equations. Comm. Pure Appl. Math. 13 (1960), pp. 457-468. | Zbl | MR
[15] ----- On Harnack's theorem for elliptic differential equations. Comm. Pure Appl. Math. XIV (1961), pp. 577-591. | Zbl
[16] ----- A Harnack inequality for Parabolic Differential Equations. Comm. Pure Appl. Math., vol. XVII, pp. 101-134 (1964). | Zbl | MR
[17] , Alcune osservazioni sulla maggiorazione in L delle soluzioni deboli delle equazioni ellittiche del secondo ordine. Ann. di Matem. t.61 (1963) pp. 151-168. | Zbl | MR
[18] ----- Sull' equazioni ellittiche del secondo ordine di tipo non variazionale, a coefficienti discontinui. Ann. di Matem. s. IV, t.LXIII, pp. 353-386 (1963). | Zbl | MR
[19] , Continuity of the solutions of parabolic and elliptic equations. Amer. J. Math. 80 (1958), pp.931-954. | Zbl | MR
[20] , Théorie des distributions, Paris, Hermann. | Zbl | MR
[21] , Pathological Solutions of Elliptic differential equations, Ann. Sc. Norm. Sup. Pisa (à paraître). | Zbl | Numdam
[22] ----- Local behavior of solutions of quasi-linear equations (à paraître). | Zbl
[231] ---- Contributi alla regolarizazziono delle soluzioni dei problemi al contorno per equazioni del secondo ordino ellittiche. Ann. Sc. Norm. Sup. Pisa (III) 12 (1958), pp.223-244 (Appendice). | Zbl | Numdam
[24] ----- Problemi al contorno ellittici, con dati discontinui, dotati di soluzioni holderiane. Ann. Mat. Pura Appl. (IV) 51(1960), pp. 1-38. | Zbl | MR
[25] ----- Régularisation des solutions de problèmes aux limites elliptiques à données discontinues. Intern. Symp. Lin. Spaces, Jerusalem, 1960. | Zbl
[26] , Equations elliptiques à données discontinues. Séminaire Schwartz, t.5, 1960-61, Equations aux dérivées partielles et interpolation, n.4, 16 p. | Numdam
[27] ----- Some limit cases of Lp-estimates for solutions of second order elliptic équations. Comm. Pure Appl. Math. 16 (1963). | Zbl
[28] ----- On some regular Multiple intégral Problems in the Calculus of Variations. Comm. Pure Appl. Math. vol. XVI (1963) | Zbl | MR
[29] ----- Formes bilinéaires coercitives sur les ensembles convexes. Comptes-rendus Acad.des Sci. de Paris (séance du 27 avril). | Zbl
[30] , On a theorem of Marcinkiewicz concerning interpolation of opérations. J. Math. Pures Appl. 35 (1956), pp. 223-248. | Zbl | MR
I , Some recent developments in the theory of partial differential equations. Bull. Amer. Math. Soc. t.68, 1962, pp.279-297. | Zbl
II ----- Des résultats récents du calcul des variations, Séminaire sur les équations aux dérivées partielles, 1961-62, n°5, 62 p. (Collège de France, nov. 1961-mai 1962).
III , Régularité des solutions des équations différentielles elliptiques, Séminaire Bourbaki, 15e année, 1962-63, n°258. | Zbl | Numdam
IV , Some aspects of linear and non linear partial differential equations. Proceedings of the International Congress of mathematicians (1962), Stockholm, pp. 147-162. | Zbl | MR
V Second order elliptic equations and boundary value problems, Proceedings of the International Congress of mathematicians (1962), Stockholm, pp. 405-413. | Zbl | MR






