@article{ASNSP_1963_3_17_3_189_0, author = {Meyers, Norman G.}, title = {An $L^p$-estimate for the gradient of solutions of second order elliptic divergence equations}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {189--206}, publisher = {Scuola normale superiore}, volume = {Ser. 3, 17}, number = {3}, year = {1963}, zbl = {0127.31904}, mrnumber = {159110}, language = {en}, url = {http://www.numdam.org/item/ASNSP_1963_3_17_3_189_0/} }
TY - JOUR AU - Meyers, Norman G. TI - An $L^p$-estimate for the gradient of solutions of second order elliptic divergence equations JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1963 DA - 1963/// SP - 189 EP - 206 VL - Ser. 3, 17 IS - 3 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_1963_3_17_3_189_0/ UR - https://zbmath.org/?q=an%3A0127.31904 UR - https://www.ams.org/mathscinet-getitem?mr=159110 LA - en ID - ASNSP_1963_3_17_3_189_0 ER -
Meyers, Norman G. An $L^p$-estimate for the gradient of solutions of second order elliptic divergence equations. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 3, Tome 17 (1963) no. 3, pp. 189-206. http://www.numdam.org/item/ASNSP_1963_3_17_3_189_0/
[1] Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions, I, Com. Pure Appl. Math. 12, pp. 623-727 (1959). | MR 125307 | Zbl 0093.10401
andu [2] Homeomorphic solutions of Beltrami systems, Dokl. Akad. Nauk. SSSR.(N. S.) 102, (1955) (Russian). | MR 71620
u [3] Generalized solutions of a system of differential equations of the first order of elliptic type with discontinuous coefficients, Mat. Sbornik N. S. 43, pp. 451-503 (1957) (Russian). | MR 106324
[4] On the existence of certain singular integrals, Acta. Math., 88, pp. 85-139 (1952). | MR 52553 | Zbl 0047.10201
and[5] Sulla differentiabilità e l'analiticitá delle extremali degli integrali multipli regolari, Mem. Accad. Sci. Torino, S. III, Parte I, pp. 25-43 (1957) | Zbl 0084.31901
[6] Linear Operators Part I, Interscience (New York) (1958). | Zbl 0084.10402
and[7] On the Hölder continuity of quasi-conformal and elliptic mappings, Trans. Amer. Math. Soc. 89, pp. 1-15 (1958). | MR 97626 | Zbl 0082.29401
and[8] A new proof of De Giorgi's theorem concerning the regularity problem for elliptic differential equations. Comm. Pure Appl. Math. 13, pp 457-468 (1960). | MR 170091 | Zbl 0111.09301
[9] The problem of reduction to canonical form of differential forms of elliptic type and generalized Cauchy Riemann systems, Dokl. Acad. Nauk. 100, pp. 197-200 (1955) (Russian). | MR 70011 | Zbl 0068.06401