@article{702458, title = {$L^p$-regularity for systems of PDE's, with coefficients in VMO}, booktitle = {Nonlinear Analysis, Function Spaces and Applications}, series = {GDML\_Books}, publisher = {Prometheus Publishing House}, address = {Praha}, year = {1994}, pages = {1-32}, mrnumber = {MR1322308}, zbl = {0830.35017}, url = {http://dml.mathdoc.fr/item/702458} }
Chiarenza, Filippo. $L^p$-regularity for systems of PDE’s, with coefficients in VMO, dans Nonlinear Analysis, Function Spaces and Applications, GDML_Books, (1994), pp. 1-32. http://gdmltest.u-ga.fr/item/702458/
Sistemi ellittici lineari e non lineari, Quaderno S.I.S.S.A., a.a. 1985–86.
estimates for divergence form elliptic equations with discontinuous coefficients, preprint. | Zbl 1007.65053
estimates for divergence form elliptic systems with discontinuous coefficients, preprint. | Zbl 1007.65053
Quasilinear elliptic equations with coefficients, preprint. | MR 1308019
A new contribution to the regularity for a class of elliptic second order equations with discontinuous coefficients, to appear in Matematiche. | MR 1320669
The fundamental solution of linear elliptic differential equations with analytic coefficients, Comm. Pure Appl. Math. 3 (1950), 273–304. (1950) | MR 0042030 | Zbl 0041.06203
On the existence of certain singular integrals, Acta Math. 88 (1952), 85–139. (1952) | MR 0052553
Inequalities, Cambridge Univ. Press, 1952. (1952) | MR 0046395 | Zbl 0047.05302
Divergent integrals and partial differential equations, Comm. Pure Appl. Math. 8 (1955), 143–202. (1955) | MR 0068085 | Zbl 0064.09204
Interior estimates for elliptic system of partial differential equations, Comm. Pure Appl. Math. 8 (1955), 503–538. (1955) | MR 0075417
Nuove formule integrali di tipo ellittico ed applicazioni alla teoria del potenziale, Ricerche Mat. 5 (1956), 126–149. (1956) | MR 0082030
On boundedness in of solutions of elliptic differential equations, Mat. Sb. 38 (1956), 359–372. (1956) | MR 0078563
Singular integral operators and differential equations, Amer. J. Math. 79 (1957), 901–921. (1957) | MR 0100768
Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions I, Comm. Pure Appl. Math. 12 (1959), 623–727. (1959) | MR 0125307 | Zbl 0093.10401
Integrales singulares y sus aplicaciones aecuaciones diferenciales hyperbolicas, Cursos y seminarios de Matematicas, 3, Univ. de Buenos Aires, 1960. (1960) | MR 0123834
On functions of bounded mean oscillation, Comm. Pure Appl. Math. 14 (1961), 415–426. (1961) | MR 0131498 | Zbl 0102.04302
Proprietà di hölderianità di alcune classi difunzioni, Ann. Scuola Norm. Sup. Pisa 17 (1963), 175–188. (1963) | MR 0156188
An estimate for the gradient of solutions of second order elliptic divergence equations, Ann. Scuola Norm. Sup. Pisa 17 (1963), 189–206. (1963) | MR 0159110
Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II, Comm. Pure Appl. Math. 17 (1964), 35–72. (1964) | MR 0162050 | Zbl 0123.28706
Partial Differential Equations, Blaisdell Publishing Co., 1964. (1964) | Zbl 0133.35701
Mean oscillation over cubes and Hölder continuity, Proc. Amer. Math. Soc. 15 (1964), 717–721. (1964) | MR 0168712 | Zbl 0129.04002
spaces and interpolation, Comm. Pure Appl. Math. 17 (1964), 293–306. (1964) | MR 0178350
Commutators of singular integral operators, Proc. Nat. Acad. Sci. U.S.A. 53 (1965), 1092–1099. (1965) | MR 0177312
Equazioni ellittiche del secondo ordine e spazi L , Ann. Mat. Pura Appl. 69 (1965), 321–382. (1965) | MR 0192168
Sulle maggiorazioni in nella teoria delle equazioni ellittiche, Boll. Un. Mat. Ital. 20 (1965), 393–399. (1965) | MR 0192169
Some function spaces defined using the mean oscillation over cubes, Ann. Scuola Norm. Sup. Pisa 19 (1965), 593–608. (1965) | MR 0190729 | Zbl 0199.44303
The spaces , and interpolation, Ann. Scuola Norm. Sup. Pisa 19 (1965), 443–462. (1965) | MR 0199697
Singular integrals, Bull. Amer. Math. Soc. 72 (1966), 427–465. (1966) | MR 0209918
Su un teorema di interpolazione di G.Stampacchia, Ann. Scuola Norm. Sup. Pisa 20 (1966), 649–652. (1966) | MR 0209864 | Zbl 0195.41102
Singular integrals and partial differential equations of parabolic type, Studia Math. 28 (1966), 81–131. (1966) | MR 0213744 | Zbl 0144.35002
Singular integrals with mixed homogeneity, Studia Math. 27 (1966), 19–38. (1966) | MR 0209787
Multiple integrals in the calculus of variations, Springer-Verlag, 1966. (1966) | MR 0202511 | Zbl 0142.38701
Un risultato relativo ad equazioni ellittiche del secondo ordine di tipo non variazionale, Ann. Scuola Norm. Sup. Pisa 21 (1967), 701–707. (1967) | MR 0224996 | Zbl 0157.42202
Partial differential equations of elliptic type, ed., Springer-Verlag, 1970. (1970) | MR 0284700 | Zbl 0198.14101
On Green’s matrices for elliptic boundary value problems I, Proc. Steklov Inst. Math. 110 (1970), 123–170. (1970) | MR 0289935
Solvability of the Dirichlet problem in for a class of linear second order elliptic partial differential equations, Boll. Un. Mat. Ital. (4) 4 (1971), 374–387. (1971) | MR 0298209
Singular integrals, Lect. Notes Mathematics, 200, Springer Verlag, 1971. (1971) | MR 0463818 | Zbl 0219.44006
spaces of several variables, Acta Math. 129 (1972), 137–193. (1972) | MR 0447953
On Dirichlet’s boundary value problem, Lect. Notes Mathematics, 268, Springer-Verlag, 1972. (1972) | MR 0473503 | Zbl 0242.35027
Fractional integration on the space and its dual, Studia Math. 53 (1975), 175–189. (1975) | MR 0388074
Functions of vanishing mean oscillation, Trans. Amer.Math. Soc. 207 (1975), 391–405. (1975) | MR 0377518 | Zbl 0319.42006
Factorization theorems for Hardy spaces in several variables, Ann. of Math. 103 (1976), 611–635. (1976) | MR 0412721 | Zbl 0326.32011
On functions with conditions on the mean oscillation, Ark. Mat. 14 (1976), 189–196. (1976) | MR 0438030 | Zbl 0341.43005
Some properties of bounded mean oscillation, Studia Math. 41 (1977), 63–75. (1977) | MR 0445210
On singular integrals with variable kernels, Applicable Analysis 7 (1978), 221–238. (1978) | MR 0511145
Mean oscillation and commutators of singular integrals operators, Ark. Mat. 16 (1978), 263–270. (1978) | MR 0524754
On the compactness of operators of Hankel type, Tôhoku Math. J. 30 (1978), 163–171. (1978) | MR 0467384 | Zbl 0384.47023
Sistemi ellittici in forma divergenza. Regolarità all’interno, Quaderni Scuola Normale Superiore Pisa, 1980. (1980) | MR 0668196 | Zbl 0453.35026
Multiple integrals in the calculus of variations and nonlinear elliptic system, Ann. of Math. Stud. 105 (1983), Princeton Univ. Press. (1983) | MR 0717034
Elliptic partial differential equations of second order, edition, Springer-Verlag, 1983. (1983) | MR 0737190 | Zbl 0562.35001
Interior estimates for non divergence elliptic equations with discontinuous coefficients, Ricerche Mat. 40 (1991), 149–168. (1991) | MR 1191890
On BMO regularity for linear elliptic system, Ann. Mat. Pura Appl. 161 (1992), 231–269. (1992) | MR 1174819
regularity for a class of elliptic second order equations with discontinuous coefficients, Matematiche 47 (1992), 177–186. (1992) | MR 1229461
solvability for the Cauchy-Dirichlet problem for parabolic equations with VMO coefficients, Comm. Partial Differential Equations 18 (1993), 1735–1763. (1993) | MR 1239929 | Zbl 0816.35045
-solvability of the Dirichlet problem for non divergence elliptic equations with VMO coefficients, Trans. Amer. Math. Soc. 336 (1993), 841–853. (1993) | MR 1088476 | Zbl 0818.35023
Compensated compactness and Hardy spaces, J. Math. Pures Appl. 72 (1993), 247–286. (1993) | MR 1225511 | Zbl 0864.42009
Interior estimates in Morrey spaces for strong solutions to non divergence form equations with discontinuous coefficients, J.Funct. Anal. 112 (1993), 241–256. (1993) | MR 1213138
Harmonic Analysis: Real-Variable Methods, Orthogonality and Oscillatory Integrals, Princeton Univ. Press, 1993. (1993) | MR 1232192 | Zbl 0821.42001
estimates for linear elliptic systems with discontinuous coefficients, Rend. Acc. Lincei (9) 5 (1994), 27–32. (1994) | MR 1273890