@article{ASNSP_1987_4_14_2_229_0,
author = {Alessandrini, Giovanni},
title = {Critical points of solutions of elliptic equations in two variables},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
pages = {229--256},
publisher = {Scuola normale superiore},
volume = {Ser. 4, 14},
number = {2},
year = {1987},
zbl = {0649.35026},
mrnumber = {939628},
language = {en},
url = {http://www.numdam.org/item/ASNSP_1987_4_14_2_229_0/}
}
TY - JOUR AU - Alessandrini, Giovanni TI - Critical points of solutions of elliptic equations in two variables JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1987 DA - 1987/// SP - 229 EP - 256 VL - Ser. 4, 14 IS - 2 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_1987_4_14_2_229_0/ UR - https://zbmath.org/?q=an%3A0649.35026 UR - https://www.ams.org/mathscinet-getitem?mr=939628 LA - en ID - ASNSP_1987_4_14_2_229_0 ER -
Alessandrini, Giovanni. Critical points of solutions of elliptic equations in two variables. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 14 (1987) no. 2, pp. 229-256. http://www.numdam.org/item/ASNSP_1987_4_14_2_229_0/
[1] , and , Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions I, Comm. Pure Appl. Math. 12, 623-727 (1959). | MR 125307 | Zbl 0093.10401
[2] , An identification problem for an elliptic equation in two variables, Ann. Mat. Pura Appl. (4) 145, 265-296 (1986). | MR 886713 | Zbl 0662.35118
[3] , Sur la généralization du problème de Dirichlet (I), Math. Ann. 62, 253-271 (1906). | JFM 37.0383.01 | MR 1511375
[4] and , On a representation theorem for linear elliptic systems with discontinuous coefficient.s and its applications, in: Convegno Internazionale sulle Equazioni Lineari alle Derivate Parziali, Trieste, 111-140, Cremonese, Roma, 1955. | MR 76981 | Zbl 0067.32503
[5] and , On isolated singularities of solutions of second order elliptic differential equations, J. Analyse Math. 4, 309-340 (1956). | MR 81416 | Zbl 0071.09701
[6] and , Elliptic Partial Differential Equations of Second Order, Springer-Verlag, Berlin, 1983. | MR 737190 | Zbl 0562.35001
[7] and , On the local behaviour of solutions of non-parabolic partial differential equations (I), Amer. J. Math. 75, 449-476 (1953). | MR 58082 | Zbl 0052.32201
[8] and , On the local behaviour of solutions of non-parabolic partial differential equations (II) The uniqueness of the Green singularity, Amer. J. Math. 76, 351-361 (1954). | MR 64271 | Zbl 0055.32403
[9] and , On the local behaviour of solutions of non-parabolic partial differential equations (III) Approximation by spherical harmonics, Amer. J. Math. 77, 329-354 (1955). | MR 76156 | Zbl 0066.08001
[10] , Barriers on cones for uniformly elliptic operators, Ann. Mat. Pura Appl. (4) 76, 93-105 (1967). | MR 221087 | Zbl 0149.32101
[11] and , Gradient bounds and Liouville theorems for quasilinear elliptic equations, Ann. Scuola Norm. Sup. Pisa Cl. Sci., (4) 5, 65-104 (1978). | Numdam | MR 481493 | Zbl 0383.35025
[12] , The problem of the least area and the problem of Plateau, Math. Z. 32, 763-796 (1930). | JFM 56.0436.01 | MR 1545197
[13] , Removable singularities of solutions of elliptic equations, Arc. Rat. Mech. Anal. 17, 67-78 (1964). | MR 170095 | Zbl 0135.15601
[14] , Maximum Principles and their Applications, Academic Press, New York, 1981. | MR 615561 | Zbl 0454.35001
[15] , Equazioni lineari ellittiche in due variabili, Matematiche (Catania) 21, 339-376 (1966). | MR 204845 | Zbl 0149.07402
[16] , The Location of Critical Points of Analytic and Harmonic Functions, American Mathematical Society, New York, 1950. | MR 37350 | Zbl 0041.04101
