Asymptotic behaviour of solutions and their derivatives, for semilinear elliptic problems with blowup on the boundary

Catherine Bandle; Moshe Marcus

Annales de l'I.H.P. Analyse non linéaire (1995)

  • Volume: 12, Issue: 2, page 155-171
  • ISSN: 0294-1449

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Bandle, Catherine, and Marcus, Moshe. "Asymptotic behaviour of solutions and their derivatives, for semilinear elliptic problems with blowup on the boundary." Annales de l'I.H.P. Analyse non linéaire 12.2 (1995): 155-171. <http://eudml.org/doc/78356>.

@article{Bandle1995,
author = {Bandle, Catherine, Marcus, Moshe},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {comparison principle; lower and an upper comparison function},
language = {eng},
number = {2},
pages = {155-171},
publisher = {Gauthier-Villars},
title = {Asymptotic behaviour of solutions and their derivatives, for semilinear elliptic problems with blowup on the boundary},
url = {http://eudml.org/doc/78356},
volume = {12},
year = {1995},
}

TY - JOUR
AU - Bandle, Catherine
AU - Marcus, Moshe
TI - Asymptotic behaviour of solutions and their derivatives, for semilinear elliptic problems with blowup on the boundary
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1995
PB - Gauthier-Villars
VL - 12
IS - 2
SP - 155
EP - 171
LA - eng
KW - comparison principle; lower and an upper comparison function
UR - http://eudml.org/doc/78356
ER -

References

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  1. [1] C. Bandle and M. Essèn, On the Solutions of Quasilinear Elliptic problems with Boundary Blow-up, Symposia Matematica, Vol. 35, 1994, pp. 93-111. Zbl0806.35045MR1297774
  2. [2] C. BandleC. and M. MARCUS M., Large solutions of semilinear elliptic equations: existence, uniqueness and asymptotic behaviour, J. d' Anal. Mathém., Vol. 58, 1992, pp. 9-24. Zbl0802.35038MR1226934
  3. [3] E.B. Dynkin, A probabilistic approach to one class of nonlinear differential equations, Probab. Theory Rel. Fields, Vol. 90, 1991, pp. 89-115. Zbl0722.60062MR1109476
  4. [4] J.B. Keller, On solutions of Δu = f(u), Comm. Pure Appl. Math., Vol. 10, 1957, pp. 503-510. Zbl0090.31801MR91407
  5. [5] C. Loewner and L. Nirenberg, Partial differential invariant under conformal or projective transformations, Contributions to Analysis (L. Ahlfors ed.), Acad. Press N. Y., 1974, pp. 245-272. Zbl0298.35018MR358078
  6. [6] M. Marcus, On solutions with blow-up at the boundary for a class of semilinear elliptic equations, Developments in Partial Differential Equations and Applications (Buttazzo et al ed.), Plenum Press, 1992, pp. 65-79. Zbl0925.35066MR1213924
  7. [7] L. Véron, Semilinear elliptic equations with uniform blow-up on the boundary, J. d' Anal. Mathém., Vol. 58, 1992. Zbl0802.35042MR1226963

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