On entire solutions of elliptic equations with a singular nonlinearity

Jan H. Chabrowski; Manfred König

Commentationes Mathematicae Universitatis Carolinae (1990)

  • Volume: 031, Issue: 4, page 643-654
  • ISSN: 0010-2628

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Chabrowski, Jan H., and König, Manfred. "On entire solutions of elliptic equations with a singular nonlinearity." Commentationes Mathematicae Universitatis Carolinae 031.4 (1990): 643-654. <http://eudml.org/doc/17886>.

@article{Chabrowski1990,
author = {Chabrowski, Jan H., König, Manfred},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {entire solutions; singular nonlinearity; Lane-Emden-Fowler equation},
language = {eng},
number = {4},
pages = {643-654},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On entire solutions of elliptic equations with a singular nonlinearity},
url = {http://eudml.org/doc/17886},
volume = {031},
year = {1990},
}

TY - JOUR
AU - Chabrowski, Jan H.
AU - König, Manfred
TI - On entire solutions of elliptic equations with a singular nonlinearity
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1990
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 031
IS - 4
SP - 643
EP - 654
LA - eng
KW - entire solutions; singular nonlinearity; Lane-Emden-Fowler equation
UR - http://eudml.org/doc/17886
ER -

References

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  2. Callagari A. J., Nachman A., Some singular, nonlinear differential equations arising in boundary layer theory, J. Math. Anal. Appl. 64 (1978), 98-105. (1978) MR0478973
  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. (1977) Zbl0362.35031MR0427826
  4. Edelson A. L., Entire solutions of singular elliptic equations, J. Math. Anal. Appl. 139 (2) (1989), 523-532. (1989) Zbl0679.35003MR0996976
  5. Gilbarg D., Trudinger N. S., Elliptic Partial Differential Equations of Second Order, Springer-Verlag, Berlin - Heidelberg - New York - Tokyo (second edition), 1983. (1983) Zbl0562.35001MR0737190
  6. Kusano T., Swanson C. A., Asymptotic properties of semilinear elliptic equations, Funk. Ekvacioj 26 (1983), 115-129. (1983) Zbl0536.35024MR0736896
  7. Kusano T., Swanson C. A., Entire positive solutions of singular elliptic equations, Japan J. Math. 11 (1) (1985), 145-155. (1985) MR0877461
  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. (1965) MR0192177
  9. Stuart C. A., Existence and approximation of solutions of nonlinear elliptic equations, Math. Zeit. 147 (1976), 53-63. (1976) MR0404854
  10. Wong J. S. W., On the generalized Emden-Fowler equation, SIAM Rev. 17 (1975), 339-360. (1975) Zbl0295.34026MR0367368

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