@article{ASNSP_1963_3_17_1-2_117_0, author = {Shamir, E.}, title = {Mixed boundary value problems for elliptic equations in the plane. {The} $L^p$ theory}, journal = {Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche}, pages = {117--139}, publisher = {Scuola normale superiore}, volume = {Ser. 3, 17}, number = {1-2}, year = {1963}, mrnumber = {157089}, zbl = {0117.07002}, language = {en}, url = {http://www.numdam.org/item/ASNSP_1963_3_17_1-2_117_0/} }
TY - JOUR AU - Shamir, E. TI - Mixed boundary value problems for elliptic equations in the plane. The $L^p$ theory JO - Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche PY - 1963 SP - 117 EP - 139 VL - 17 IS - 1-2 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_1963_3_17_1-2_117_0/ LA - en ID - ASNSP_1963_3_17_1-2_117_0 ER -
%0 Journal Article %A Shamir, E. %T Mixed boundary value problems for elliptic equations in the plane. The $L^p$ theory %J Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche %D 1963 %P 117-139 %V 17 %N 1-2 %I Scuola normale superiore %U http://www.numdam.org/item/ASNSP_1963_3_17_1-2_117_0/ %G en %F ASNSP_1963_3_17_1-2_117_0
Shamir, E. Mixed boundary value problems for elliptic equations in the plane. The $L^p$ theory. Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche, Série 3, Tome 17 (1963) no. 1-2, pp. 117-139. http://www.numdam.org/item/ASNSP_1963_3_17_1-2_117_0/
1 The LP approach to the Dirichlet problem, Annali di Pisa, 13 (1959), 49-92. | Numdam | MR | Zbl
2 Estimates near the boundary for solutions of elliptic partial differential equations satisfying general bonudary conditions. Comm. Pure Appl. Math. 12 (1959), 623-727. | MR | Zbl
, and3 Theory of Bessel potentials (I). Annales Inst. Fourier 11 (1961), 385-475. (II-to appear). | Numdam | MR | Zbl
and4 Estimates and existence theorems for elliptic boundary value problems Proo. Nat. Acad. Sci U. S. A. 45 (1959), 365-372. | MR | Zbl
5 A priori estimates for solutions of elliptic boundary value problems (I) (II). Konink. Ned. Akad. Van Wetenschap 22 (1960), 145-159, 160-169. | MR | Zbl
6 On singular integrals. Amer J. Math. 78 (1956), 289-309. | MR | Zbl
and7 Théorèmes de traces et d'interpolation (I). Annali di Pisa 13 (1959), 389-403. | Numdam | MR | Zbl
8 Equations differentielles operationelles et problèmes aux limites, Springer Verlag, Berlin, Göttingen, Heidelberg, 1961. | MR | Zbl
9 Problemi ai limiti non omogenei (III) Annali di Pisa 15 (1961), 39-101. | Numdam | MR
and10 Problemes aux limites non homogènes (IV) Annali di Pisa 15 (1961), 311-326. | Numdam | MR | Zbl
11 Problemi ai limiti non omogenei (V). Annali di Pisa 16 (1962), 1-44. | Numdam | MR | Zbl
and12 Singular integral equation (English translation) P. Nordhoff N. V, Groningen, 1953. | Zbl
13 On the imbedding, continuation and approximation theorems for differentiable functions in many variables. Usp. Mat. Nauk. 16, 5 (1961), 63-114. | MR | Zbl
14 Another approach to elliptic boundary problems. Comm. Pure Appl. Math. 14 (1961) 711-731. | MR | Zbl
15 Mixed problems for higher order elliptic equations in two variables (I). Annali di Pisa 15 (1961), 337-353. | Numdam | MR | Zbl
16 General boundary value problems for elliptic partial differential equations. Comm. Pure App. Math. 12 (1959), 451-485. | MR | Zbl
17 Mixed problems for higher order elliptic equations. Comm. Pure App. Math. 13 (1960), 407-425. | MR | Zbl
18 Some LP estimates for partial differential equations. Bull. Amer. Math. Soo. 68 (1962), 470-474. | MR | Zbl
19 Évaluations dans Ws,p pour des problèmes aux limites elliptiques mixtes dans le plan. C. P. Acad. Sci. Paris 254 (1962), 3621-3623. | MR | Zbl
20 An imbedding theorem for Sobolev classes of fractional order. Dok Akad. Nauk S. S. S. R, 130 (1960), 992-993. | MR | Zbl
21 Properties of the classes Wr,p of fractional derivates on differentiable manifolds, Dok. Akad. Nauk S. S. S. R. 132 (1960), 60-62. | MR | Zbl
22 Reduced Hilbert transforms and singular integral equations. The appear in J. D'analyse Math., (1964). | MR | Zbl