@article{ASNSP_1973_3_27_2_265_0,
author = {Trudinger, Neil S.},
title = {Linear elliptic operators with measurable coefficients},
journal = {Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche},
pages = {265--308},
year = {1973},
publisher = {Scuola normale superiore},
volume = {Ser. 3, 27},
number = {2},
mrnumber = {369884},
zbl = {0279.35025},
language = {en},
url = {https://www.numdam.org/item/ASNSP_1973_3_27_2_265_0/}
}
TY - JOUR AU - Trudinger, Neil S. TI - Linear elliptic operators with measurable coefficients JO - Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche PY - 1973 SP - 265 EP - 308 VL - 27 IS - 2 PB - Scuola normale superiore UR - https://www.numdam.org/item/ASNSP_1973_3_27_2_265_0/ LA - en ID - ASNSP_1973_3_27_2_265_0 ER -
%0 Journal Article %A Trudinger, Neil S. %T Linear elliptic operators with measurable coefficients %J Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche %D 1973 %P 265-308 %V 27 %N 2 %I Scuola normale superiore %U https://www.numdam.org/item/ASNSP_1973_3_27_2_265_0/ %G en %F ASNSP_1973_3_27_2_265_0
Trudinger, Neil S. Linear elliptic operators with measurable coefficients. Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche, Série 3, Tome 27 (1973) no. 2, pp. 265-308. https://www.numdam.org/item/ASNSP_1973_3_27_2_265_0/
[1] , « Proprietà di inclusione per spazi di Morrey », Ricerche Mat., Vol. 12 (1963), 67-86. | Zbl | MR
[2] , « Principio di massimo forte per sottosoluzione di equazioni ellittiche di tipo variazionale », Boll. U.M.I., Ser. 3, Vol. 22 (1967), 368-372. | Zbl | MR | EuDML
[3] , « Semicontinuità delle sottosoluzioni di equazioni ellittiche di tipo variazionale », Boll. U.M.I, Ser. 4, Vol. 1 (1968), 548 553. | Zbl | MR
[4] , « Principio di massimo per soluzioni di problemi al contorno misti per equazioni ellittiche di tipo variazionale », Boll. U M.I., Ser 4, Vol. 3 (1970), 384-394. | Zbl | MR
[5] , « Sulla differenziabilità. e l'analiticità delle estremali degli integrali multipli regolari », Mem. Accad. Sci. Torino, Ser 3a, Vol. 3 (1957), 25-43. | Zbl | MR
[6] and , « Orlicz-Sobolev spaces and imbedding theorems », J. Functional Analysis, Vol. 8 (1971), 52-75. | Zbl | MR
[7] , « Les fonctions surharmoniques associées à un opérateur. elliptique du second ordre a coefficients discontinus », Ann. Inst. Fourier, Vol.19 (1969), 305-359. | Numdam | Zbl | MR | EuDML
[8] and , « On functions of bounded mean oscillation », Comm. Pure Appl. Math. Vol. 14 (1961), 415-426. | Zbl | MR
[9] , « Certain properties of solutions of elliptic equations », (English translation), Soviet Math. Vol. 4 (1963), 686-695. | Zbl
[10] and , « On the Hölder continuity of the solutions and their derivatives of linear and quasi linear equations of elliptic and parabolic type » . (In Russian). Trudy Mat. Inst. Steklov, Vol. 73 (1964), 173-190. | MR
[11] and , « Linear and quasilinear equations of elliptic type », Izd. Nauka, Moscow, 1964. English translation, Academic press, New York, 1968. | Zbl
[12] , « Generalized subharmonic functions » : Monotonic approximations and an improved maximum principle », Ann. Sc. Norm. Sup. Pisa, Vol. 17 (1963), 207-222. | Zbl | MR | Numdam
[13] , , and , « Regular points for elliptic equations with discontinuous coefficients », Ann. Sc. Norm. Sup. Pisa, Vol. 17 (1963), 43-77. | Zbl | MR | Numdam
[14] and , « H = W », Proc. Nat. Acad. Sci., Vol. 51 (1964), 1055-1056. | Zbl | MR
[15] Jr., «Second order elliptic equations in several variables and Hölder continuity », Math. Zeit., Vol. 72 (1959), 146-164. | Zbl | MR
[16] Jr., «Mutiple integrals in the calculus of variations », Springer Verlag, New York, 1966. | Zbl | MR
[17] , «A new proof of De Giorgi's theorem concerning the regularity problem for elliptic differential equations », Comm. Pure Appl. Math., Vol. 13 (1960), 457-468. | Zbl | MR
[18] , « On Harnack's theorem for elliptic differential equations », Comm. Pure Appl. Math., Vol. 14 (1961), 577-591. | Zbl | MR
[19] , « On pointwise estimates for parabolic differential equations », Comm. Pure Appl. Math., Vol. 24 (1971), 727-740. | Zbl | MR
[20] , and , « Boundary value problems for some degenerate-elliptio operators », Ann. Mat. Pura Appl., Vol. 80 (1968), 1-122. | Zbl | MR
[21] , « Continuity of solutions of elliptic and parabolic equations », Amer. J. Math., Vol. 80 (1958), 931-954. | Zbl | MR
[22] , « Local behavior of solutions of quasilinear elliptic equations », Acta Math. Vol. III (1964), 247-302. | Zbl | MR
[23] , « Vector valued Orlicz spaces II », Pacific J. Math., Vol. 28 (1969), 413-430. | Zbl | MR
[24] , « Contributi alla regolarizzazione delle soluzioni dei problemi al contorno per equazioni del secondo ordine ellittiche », Ann. Sc. Norm. Sup. Pisa, Vol.12 (1958), 223-245. | Zbl | MR | Numdam
[25] , « Problemi al contorno ellittici con data discontinui dotati di soluzioni hölderiane », Ann. Mat. Pura Appl. Vol. 51 (1960), 1-38. | Zbl | MR
[26] , « Some limit cases of Lp-estimates for solutions of second order elliptic equations », Comm. Pure Appl. Math. Vol. 16 (1963), 505-510. | Zbl | MR
[27] , « Le problème de Dirichlet pour les équations elliptique, du second ordre à coefficients discontinus », Ann. Inst. Fourier, Vol. 15 (1965), 189-258. | Zbl | MR | Numdam
[28] , « Second order linear and quasilinear elliptic equations in n-variables », Lecture notes, Stanford University 1971.
[29] , « On Harnack type inequalities and their application to quasilinear elliptic equations », Comm. Pure Appl. Math., Vol. 20 (1967), 721-747. | Zbl | MR
[30] , « On imbeddings into Orlicz spaces and some applications », J. Math. Mech., Vol. 17 (1967), 473-484. | Zbl | MR
[31] , « On the regularity of generalized solutions of linear non-uniformly elliptic equations », Arch. Rat. Mech. Anal. Vol. 42 (1971), 51-62. | Zbl | MR
[32] , « Generalized solutions of quasilinear, differential inequalities », « I Elliptic operators », Bull. Amer. Math. Soc., Vol. 77 (1971), 571-579. | Zbl | MR
[33] , « Local and global behaviour of generalized solutions of quasilinear, differential inequalities », (to appear).
[34] , « Functional analysis », Springer-Verlag, New York, 1965.






