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Gradient bounds and Liouville theorems for quasilinear elliptic equations. (English) Zbl 0383.35025


MSC:

35J60 Nonlinear elliptic equations
35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs
35J70 Degenerate elliptic equations
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References:

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[3] D. Gilbarg - J.B. Serrin , On isolated singularities of solutions of second order elliptic differential equations , J. d’Analyse Math. , 4 ( 1954 - 1956 ), pp. 165 - 174 . Zbl 0095.20804 · Zbl 0095.20804 · doi:10.1007/BF01162945
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[7] J. Serrin , Gradient estimates for nonlinear elliptic and parabolic partial differential equations , Symposium on Nonlinear Functional Analysis, University of Wisconsin Press ( 1972 ). Zbl 0271.35004 · Zbl 0271.35004
[8] J. Serrin , Entire solutions of nonlinear Poisson equations , Proc. London Math. Soc. , 24 ( 1972 ), pp. 348 - 366 . MR 289961 | Zbl 0229.35035 · Zbl 0229.35035 · doi:10.1112/plms/s3-24.2.348
[9] J. Serrin , Liouville theorems for quasilinear elliptic equations , Atti del Convegno Internazionale sui Metodi Valutativi nella Fisica-Matematica, Roma , Accademia Lincei , 1975 .
[10] I.N. Tavgelidze , Liouville theorems for second order elliptic and parabolic equations , Vestnik Moskov Univ. , 31 ( 1976 ), pp. 28 - 35 . MR 430492 | Zbl 0341.35032 · Zbl 0341.35032
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