About DML-CZ | FAQ | Conditions of Use | Math Archives | Contact Us
  Previous |  Up |  Next

Article

First Page Preview
Chabrowski, Jan H. ; König, Manfred
On entire solutions of elliptic equations with a singular nonlinearity. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 31 (1990), issue 4, pp. 643-654
MSC: 35B05, 35B45, 35B99, 35D05, 35J15, 35J60 | MR 1091362 | Zbl 0729.35041
References:
[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
[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
[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. MR 0427826 | Zbl 0362.35031
[4] Edelson A. L.: Entire solutions of singular elliptic equations. J. Math. Anal. Appl. 139 (2) (1989), 523-532. MR 0996976 | Zbl 0679.35003
[5] Gilbarg D., Trudinger N. S.: Elliptic Partial Differential Equations of Second Order. Springer-Verlag, Berlin - Heidelberg - New York - Tokyo (second edition), 1983. MR 0737190 | Zbl 0562.35001
[6] Kusano T., Swanson C. A.: Asymptotic properties of semilinear elliptic equations. Funk. Ekvacioj 26 (1983), 115-129. MR 0736896 | Zbl 0536.35024
[7] Kusano T., Swanson C. A.: Entire positive solutions of singular elliptic equations. Japan J. Math. 11 (1) (1985), 145-155. MR 0877461
[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
[9] Stuart C. A.: Existence and approximation of solutions of nonlinear elliptic equations. Math. Zeit. 147 (1976), 53-63. MR 0404854
[10] Wong J. S. W.: On the generalized Emden-Fowler equation. SIAM Rev. 17 (1975), 339-360. MR 0367368 | Zbl 0295.34026
Partner of
EuDML logo