On the radial solutions of a degenerate quasilinear elliptic equation in 𝐑 N

Betteoui Benyounes; Abdelilah Gmira

Annales de la Faculté des sciences de Toulouse : Mathématiques (1999)

  • Volume: 8, Issue: 3, page 411-438
  • ISSN: 0240-2963

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Benyounes, Betteoui, and Gmira, Abdelilah. "On the radial solutions of a degenerate quasilinear elliptic equation in ${\bf R}^N$." Annales de la Faculté des sciences de Toulouse : Mathématiques 8.3 (1999): 411-438. <http://eudml.org/doc/73494>.

@article{Benyounes1999,
author = {Benyounes, Betteoui, Gmira, Abdelilah},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {radial solutions; degenerate quasilinear elliptic equation; -Laplacian},
language = {eng},
number = {3},
pages = {411-438},
publisher = {UNIVERSITE PAUL SABATIER},
title = {On the radial solutions of a degenerate quasilinear elliptic equation in $\{\bf R\}^N$},
url = {http://eudml.org/doc/73494},
volume = {8},
year = {1999},
}

TY - JOUR
AU - Benyounes, Betteoui
AU - Gmira, Abdelilah
TI - On the radial solutions of a degenerate quasilinear elliptic equation in ${\bf R}^N$
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1999
PB - UNIVERSITE PAUL SABATIER
VL - 8
IS - 3
SP - 411
EP - 438
LA - eng
KW - radial solutions; degenerate quasilinear elliptic equation; -Laplacian
UR - http://eudml.org/doc/73494
ER -

References

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  2. [2] Gmira A. — On quasilinear parabolic equation involving measure data, Asymptotic Analysis3 (1990), 43-56. Zbl0733.35017MR1043962
  3. [3] Guedda M. and Veron L. — Local and global properties of solutions of quasilinear elliptic equation, J. Diff. Eq.76, n° 1 (1988), 159-189. Zbl0661.35029MR964617
  4. [4] Haraux A. and Weissler F.B. — Non uniqueness for a semilinear initial value problem, Indiana Univ. Math. J., 31 (1982), 167-189. Zbl0465.35049MR648169
  5. [5] Kamin S. and Vazquez J.L. — Singular solutions of some nonlinear parabolic equations, J. d'Analyse Mathematique, Vol. 59 (1992), 51-74. Zbl0802.35066MR1226951
  6. [6] Naito Y. and Yashida K. — Damped oxillation of solutions for some nonlinear second order ordinary differential equation, Adv. in Math. Sciences and App., Gakkotosho, Tokyo, vol. 5, n° 1 (1995), 239-248. Zbl0829.34027MR1325967
  7. [7] Peletier L.A., Terman D. and Weissler F.B. — On the equation Δu + 1/2 x∇u + f(u) = 0, Arch. Rational Mech. Anal., 94 (1986), 83-99. Zbl0615.35034MR831771
  8. [8] Peletier L.A. and Wang J. — A very singular solution of a quasilinear degenerate diffusion equation with absorption, Trans. Am. Math. Soc., 307 (1988), 813-826. Zbl0696.35094MR940229
  9. [9] Pucci P., Serrin J. — Continuation and limit properties for solutions of strongly non linear second order differential equations, Asymptotic Analysis, 4 (1991), 97-160. North-Holland. Zbl0733.34042MR1110436
  10. [10] Weissler F.B. — Asymptotic Analysis of an ordinary differential equation and non-uniqueness for a semilinear partial differential equation, Archive for Rational Mech and Anal.91 (1986), 231-245. Zbl0614.35043MR806003
  11. [11] Yoshida K. - "Functional Analysis", Grundlehren der mathematischen Wissens chaften123. Springer-Verlag, New York. Sixth edition (1980). Zbl0435.46002

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