Critère d'existence de solutions positives pour des équations semi-linéaires non monotones

Pierre Baras; Michel Pierre

Annales de l'I.H.P. Analyse non linéaire (1985)

  • Volume: 2, Issue: 3, page 185-212
  • ISSN: 0294-1449

How to cite

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Baras, Pierre, and Pierre, Michel. "Critère d'existence de solutions positives pour des équations semi-linéaires non monotones." Annales de l'I.H.P. Analyse non linéaire 2.3 (1985): 185-212. <http://eudml.org/doc/78096>.

@article{Baras1985,
author = {Baras, Pierre, Pierre, Michel},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {existence of nonnegative solution},
language = {fre},
number = {3},
pages = {185-212},
publisher = {Gauthier-Villars},
title = {Critère d'existence de solutions positives pour des équations semi-linéaires non monotones},
url = {http://eudml.org/doc/78096},
volume = {2},
year = {1985},
}

TY - JOUR
AU - Baras, Pierre
AU - Pierre, Michel
TI - Critère d'existence de solutions positives pour des équations semi-linéaires non monotones
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1985
PB - Gauthier-Villars
VL - 2
IS - 3
SP - 185
EP - 212
LA - fre
KW - existence of nonnegative solution
UR - http://eudml.org/doc/78096
ER -

References

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  1. [1] D.R. Adams, On the existence of capacitary strong type estimates in RN. Arkiv för Matematik, t. 14, 1, 1976, p. 125-140. Zbl0325.31008MR417774
  2. [2] D.R. Adams et J.C. Polking, The equivalence of two definitions of capacity. Proc. of A. M. S., t. 37, 1973, p. 529-534. Zbl0251.31005MR328109
  3. [3] P. Baras et M. Pierre, Singularités éliminables pour des équations semi-linéaires. Ann. Inst. Fourier, Grenoble, t. 34, 1, 1984. Zbl0519.35002MR743627
  4. [4] P. Baras et M. Pierre, Problèmes paraboliques semi-linéaires avec données mesures. A paraître. Zbl0582.35060
  5. [5] H. Fujita, On the blowing up of solutions of the Cauchy problems for ut = Δu + u1 + α. J. Fac. Sc. Univ. Tokyo, t. 13, 1966, p. 109-124. Zbl0163.34002MR214914
  6. [6] J.L. Lions, Quelques méthodes de résolution des problèmes aux limites non-linéaires. Dunod, Paris, 1969. Zbl0189.40603MR259693
  7. [7] N.G. Meyers, A theory of capacities for potentials of functions in Lebesgue classes. Math. Scand., t. 26, 1970, p. 255-292. Zbl0242.31006MR277741
  8. [8] L. Nirenberg, On elliptic partial differential equations. Ann. Scuola Norm. Sup. Pisa, t. 13, 1959, p. 115-162. Zbl0088.07601MR109940
  9. [9] M. Pierre, Problèmes semi-linéaires avec données mesures. Séminaire Goulaouic-Meyer-Schwartz,École Polytechnique, Exposé n° XIII, 1983. Zbl0533.35039MR716901
  10. [10] H.H. Schaefer, Topological vector spaces. Springer, New York, 1971. Zbl0217.16002MR342978
  11. [11] F.B. Weissler, Local existence and non-existence for semilinear parabolic equations in Lp. Indiana Math. J., t. 29, 1980, p. 79-102. Zbl0443.35034MR554819
  12. [12] F.B. Weissler, Existence and non-existence of global solutions for a semilinear heat equation. Israel J. of Math., t. 38, 1981, p. 29-40. Zbl0476.35043

Citations in EuDML Documents

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  1. Yvan Martel, Complete blow up and global behaviour of solutions of u t - Δ u = g ( u )
  2. N. Alaa, Solutions faibles d'équations paraboliques quasilinéaires avec données initiales mesurés
  3. Isabelle Moutoussamy, Laurent Veron, Source type positive solutions of nonlinear parabolic inequalities
  4. Haïm Brezis, Xavier Cabré, Some simple nonlinear PDE's without solutions
  5. Pavol Quittner, A priori bounds for solutions of parabolic problems and applications
  6. Piotr Biler, Existence and nonexistence of solutions for a model of gravitational interaction of particles, III
  7. D. Andreucci, E. Di Benedetto, On the Cauchy problem and initial traces for a class of evolution equations with strongly nonlinear sources
  8. Piotr Biler, The Cauchy problem and self-similar solutions for a nonlinear parabolic equation
  9. Nathalie Grenon, Existence results for semilinear elliptic equations with small measure data
  10. D. Adams, Michel Pierre, Capacitary strong type estimates in semilinear problems

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