@article{ASNSP_1978_4_5_1_65_0, author = {Peletier, L. A. and Serrin, J.}, title = {Gradient bounds and {Liouville} theorems for quasilinear elliptic equations}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {65--104}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 5}, number = {1}, year = {1978}, mrnumber = {481493}, zbl = {0383.35025}, language = {en}, url = {http://archive.numdam.org/item/ASNSP_1978_4_5_1_65_0/} }
TY - JOUR AU - Peletier, L. A. AU - Serrin, J. TI - Gradient bounds and Liouville theorems for quasilinear elliptic equations JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1978 SP - 65 EP - 104 VL - 5 IS - 1 PB - Scuola normale superiore UR - http://archive.numdam.org/item/ASNSP_1978_4_5_1_65_0/ LA - en ID - ASNSP_1978_4_5_1_65_0 ER -
%0 Journal Article %A Peletier, L. A. %A Serrin, J. %T Gradient bounds and Liouville theorems for quasilinear elliptic equations %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1978 %P 65-104 %V 5 %N 1 %I Scuola normale superiore %U http://archive.numdam.org/item/ASNSP_1978_4_5_1_65_0/ %G en %F ASNSP_1978_4_5_1_65_0
Peletier, L. A.; Serrin, J. Gradient bounds and Liouville theorems for quasilinear elliptic equations. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 5 (1978) no. 1, pp. 65-104. http://archive.numdam.org/item/ASNSP_1978_4_5_1_65_0/
[1] The Liouville theorem for a quasilinear elliptic partial differential equation, Trans. Amer. Math. Soc., 104 (1962), pp. 392-397. | MR | Zbl
- ,[2] Remarks relevant to minimal surfaces of constant mean curvature, J. d'Analyse Math., 14 (1965), pp. 139-160. | MR | Zbl
,[3] On isolated singularities of solutions of second order elliptic differential equations, J. d'Analyse Math., 4 (1954-1956), pp. 165-174. | Zbl
- ,[4] Local estimates for the first derivatives of solutions of quasilinear elliptic equations and their applications to Liouville-type theorems, Sem. Steklov Inst. Leningrad, 30 (1972), pp. 40-50 (translation in J. Sov. Math., 1 (1973), pp. 416-430(. | MR
,[5] Maximum principles in differential equations, Prentice-Hall, Englewood Cliffs, N. J., 1967. | MR | Zbl
- ,[6] On the inequality Δu ≽ f(u, |grad u|), J. Math. Anal. Appl., 1 (1960), pp. 277-299. | Zbl
,[7] Gradient estimates for nonlinear elliptic and parabolic partial differential equations, Symposium on Nonlinear Functional Analysis, University of Wisconsin Press (1972). | Zbl
,[8] Entire solutions of nonlinear Poisson equations, Proc. London Math. Soc., 24 (1972), pp. 348-366. | MR | Zbl
,[9] Liouville theorems for quasilinear elliptic equations, Atti del Convegno Internazionale sui Metodi Valutativi nella Fisica-Matematica, Roma, Accademia Lincei, 1975.
,[10] Liouville theorems for second order elliptic and parabolic equations, Vestnik Moskov Univ., 31 (1976), pp. 28-35. | MR | Zbl
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