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Stampacchia, Guido

Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus. (French) Zbl 0151.15401

Ann. Inst. Fourier 15, No. 1, 189-257 (1965); Colloques Int. Centre nat. Rech. Sci. 146, 189-258 (1965).
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Cited in 5 Reviews
Cited in 698 Documents

Keywords:

partial differential equations
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\textit{G. Stampacchia}, Ann. Inst. Fourier 15, No. 1, 189--257 (1965; Zbl 0151.15401)
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References:

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[2] J. DENY, Sur les espaces de Dirichlet Séminaire de théorie du potentiel (1958) (n° 5).
[3] E. DE GIORGI, Sulla differenziabilità e l’analicità delle estremali degli integrali multipli regolari, Mem. Accad. Sc. Torino Cl. Sci. Fis. Mat. (3), 3 (1957), 25-43. · Zbl 0084.31901
[4] E. GAGLIARDO, Proprietà di alcune classi di funzioni in più variabili Ricerche di Matematica, vol. VII (1958), 102-137. · Zbl 0089.09401
[5] R. M. HERVÉ, Un principe du maximum pour LES sous-solutions locales d’une équation uniformément elliptique de la forme Lu = - σi δ/δxi(σjaijδu/δxj) = 0, Annales de l’Institut Fourier, 14, 2 (1964), 493-508. · Zbl 0129.07202
[6] L. HÖRMANDER, Estimates for translation invariant operators in lv spaces, Acta Math., 104 (1960), 93-140. · Zbl 0093.11402
[7] F. JOHN and L. NIRENBERG, On functions of bounded mean oscillation, Comm. Pure Appl. Math., vol. 14 (1961), 415-426. · Zbl 0102.04302
[8] O. A. LADYZENSKAJA and N. N. URALT’SEVA, Quasi-linear elliptic equations and variational problems with many independent variables, Uspehi Matem. Nauk., vol. 16 (1961), transl. vol. 1, 17-91. · Zbl 0142.37602
[9] W. LITTMAN, G. STAMPACCHIA and H. F. WEINBERGER, Regular points for elliptic equations with discontinuous coefficients, Ann. Scuola Normale Sup. Pisa, vol. 17 (1963), 43-77. · Zbl 0116.30302
[10] C. MIRANDA, Alcune osservazioni sulla maggiorazione in lv delle soluzioni deboli delle equazioni ellittiche del secondo ordine, Ann. di Matematica, vol. 61 (1963), 151-170. · Zbl 0134.09102
[11] C. B. MORREY, JR., Second order elliptic equations in several variables and Hölder continuity, Math. Z., (1959), 146-164. · Zbl 0094.07802
[12] J. MOSER, On Harnack’s theorem for elliptic differential equations, Comm. Pure Appl. Math., vol. XIV (1961), 577-591. · Zbl 0111.09302
[13] L. NIRENBERG, On elliptic partial differential equations, Ann. Scuola Normale Sup. Pisa, vol. 13 (1959), 116-162. · Zbl 0088.07601
[14] J. SERRIN, Local behavior of solutions of quasi-linear equations, Acta Mathematica, vol. III (1964), 247-302. · Zbl 0128.09101
[15] J. SERRIN, Isolated singularities of solutions of quasi-linear equations (à paraitre). · Zbl 0173.39202
[16] G. STAMPACCHIA, Contributi alla regolarizzazione delle soluzioni dei problemi al contorno per le equazioni del secondo ordine ellittiche, Ann. Scuola Normale Sup. Pisa, serie III, vol. XII, fasc. III (1958), 223-245. · Zbl 0082.09701
[17] G. STAMPACCHIA, Problemi al contorno ellittici, con dati discontinui, dotati di soluzioni holderiane, Ann. Mat. Pura Appl., 51 (1960), 1-38. · Zbl 0204.42001
[18] G. STAMPACCHIA, Régularisation des solutions de problèmes aux limites elliptiques à données discontinues, Inter. Symp. on Lin. Spaces, Jerusalem (1960), 399-408. · Zbl 0114.30403
[19] G. STAMPACCHIA, Équations elliptiques à données discontinues, Séminaire Schwartz (1960/1961) (n° 4). · Zbl 0092.10401
[20] G. STAMPACCHIA, On some regular multiple integrale problems in the calculus of variations, Comm. Pure Appl. Math., vol. XVI (1963), 383-421. · Zbl 0138.36903
[21] G. STAMPACCHIA, Some limit cases of lp-estimates for solutions of second order elliptic equations, Comm. Pure Appl. Math., vol. XVI (1963), 505-510. · Zbl 0147.09202
[22] G. STAMPACCHIA, Formes bilinéaires coercitives sur LES ensembles convexes, C.R. Acad. Sc. Paris, t. 258 (1964), 4413-4416. · Zbl 0124.06401
[23] G. STAMPACCHIA, Équations elliptiques du second ordre à coefficients discontinus, Séminaire sur les équations aux dérivées partielle, Collège de France (Mai 1964).
[24] A. ZYGMUND, On a théorem of Marcinkiewicz concerning interpolation of operations, Journal de Mathématiques, t. 35 (1956), 223-248. · Zbl 0070.33701
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