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Title: On entire solutions of elliptic equations with a singular nonlinearity (English)
Author: Chabrowski, Jan H.
Author: König, Manfred
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 31
Issue: 4
Year: 1990
Pages: 643-654
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Category: math
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MSC: 35B05
MSC: 35B45
MSC: 35B99
MSC: 35D05
MSC: 35J15
MSC: 35J60
idZBL: Zbl 0729.35041
idMR: MR1091362
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Date available: 2008-06-05T21:45:47Z
Last updated: 2012-04-28
Stable URL: http://hdl.handle.net/10338.dmlcz/106900
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Reference: [1] Callagari A. J., Nachman A.: A nonlinear singular boundary value problem in the theory of pseudoplastic fluids.SIAM J. Appl. Math. 38 (1980), 275-281. MR 0564014
Reference: [2] Callagari A. J., Nachman A.: Some singular, nonlinear differential equations arising in boundary layer theory.J. Math. Anal. Appl. 64 (1978), 98-105. MR 0478973
Reference: [3] Crandall M. G., Rabinowitz P. H., Tartar L.: On a Dirichlet problem with a singular nonlinearity.Comm. in Partial Diff. Equations 2 (21) (1977), 197-227. Zbl 0362.35031, MR 0427826
Reference: [4] Edelson A. L.: Entire solutions of singular elliptic equations.J. Math. Anal. Appl. 139 (2) (1989), 523-532. Zbl 0679.35003, MR 0996976
Reference: [5] Gilbarg D., Trudinger N. S.: Elliptic Partial Differential Equations of Second Order.Springer-Verlag, Berlin - Heidelberg - New York - Tokyo (second edition), 1983. Zbl 0562.35001, MR 0737190
Reference: [6] Kusano T., Swanson C. A.: Asymptotic properties of semilinear elliptic equations.Funk. Ekvacioj 26 (1983), 115-129. Zbl 0536.35024, MR 0736896
Reference: [7] Kusano T., Swanson C. A.: Entire positive solutions of singular elliptic equations.Japan J. Math. 11 (1) (1985), 145-155. MR 0877461
Reference: [8] Stampacchia G.: Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinues.Ann. Inst. Fourier (Grenoble) 15 (1) (1965), 189-285. MR 0192177
Reference: [9] Stuart C. A.: Existence and approximation of solutions of nonlinear elliptic equations.Math. Zeit. 147 (1976), 53-63. MR 0404854
Reference: [10] Wong J. S. W.: On the generalized Emden-Fowler equation.SIAM Rev. 17 (1975), 339-360. Zbl 0295.34026, MR 0367368
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