On a non linear partial differential equation having natural growth terms and unbounded solution

A. Bensoussan; L. Boccardo; F. Murat

Annales de l'I.H.P. Analyse non linéaire (1988)

  • Volume: 5, Issue: 4, page 347-364
  • ISSN: 0294-1449

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Bensoussan, A., Boccardo, L., and Murat, F.. "On a non linear partial differential equation having natural growth terms and unbounded solution." Annales de l'I.H.P. Analyse non linéaire 5.4 (1988): 347-364. <http://eudml.org/doc/78157>.

@article{Bensoussan1988,
author = {Bensoussan, A., Boccardo, L., Murat, F.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {unbounded solutions},
language = {eng},
number = {4},
pages = {347-364},
publisher = {Gauthier-Villars},
title = {On a non linear partial differential equation having natural growth terms and unbounded solution},
url = {http://eudml.org/doc/78157},
volume = {5},
year = {1988},
}

TY - JOUR
AU - Bensoussan, A.
AU - Boccardo, L.
AU - Murat, F.
TI - On a non linear partial differential equation having natural growth terms and unbounded solution
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1988
PB - Gauthier-Villars
VL - 5
IS - 4
SP - 347
EP - 364
LA - eng
KW - unbounded solutions
UR - http://eudml.org/doc/78157
ER -

References

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  10. [10] L. Boccardo, F. Murat and J.P. Puel, Existence of Bounded Solutions for Non Linear Elliptic Unilateral Problems, Annali di Mat. Pura Appl., (to appear). Zbl0687.35042
  11. [11] H. Brezis and F.E. Browder, Some Properties of Higher Order Sobolev Spaces, J. Math. Pures Appl., Vol. 61, 1982, pp. 245-259. Zbl0512.46034MR690395
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Citations in EuDML Documents

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  1. Rüdiger Landes, Vesa Mustonen, On parabolic initial-boundary value problems with critical growth for the gradient
  2. Guy Barles, Alain-Philippe Blanc, Christine Georgelin, Magdalena Kobylanski, Remarks on the maximum principle for nonlinear elliptic PDEs with quadratic growth conditions
  3. Aomar Anane, Omar Chakrone, Jean-Pierre Gossez, Spectre d'ordre supérieur et problèmes aux limites quasi-linéaires
  4. Youssef Akdim, Elhoussine Azroul, Abdelmoujib Benkirane, Existence of Solution for Quasilinear Degenerated Elliptic Unilateral Problems
  5. N. Alaa, I. Mounir, Weak solutions for some reaction-diffusion systems with balance law and critical growth with respect to the gradient
  6. François Murat, Homogenization of renormalized solutions of elliptic equations
  7. Youssef Akdim, Mohammed Belayachi, Hassane Hjiaj, Existence of renormalized solutions for some degenerate and non-coercive elliptic equations
  8. Lucio Boccardo, Luigi Orsina, Existence and regularity of minima for integral functionals noncoercive in the energy space
  9. Lucio Boccardo, Positive solutions for some quasilinear elliptic equations with natural growths
  10. Salvatore Bonafede, Hölder continuity of bounded generalized solutions for some degenerated quasilinear elliptic equations with natural growth terms

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