An L 1 -theory of existence and uniqueness of solutions of nonlinear elliptic equations

Philippe Bénilan; Lucio Boccardo; Thierry Gallouët; Ron Gariepy; Michel Pierre; Juan Luis Vazquez

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1995)

  • Volume: 22, Issue: 2, page 241-273
  • ISSN: 0391-173X

How to cite

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Bénilan, Philippe, et al. "An $L^1$-theory of existence and uniqueness of solutions of nonlinear elliptic equations." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 22.2 (1995): 241-273. <http://eudml.org/doc/84205>.

@article{Bénilan1995,
author = {Bénilan, Philippe, Boccardo, Lucio, Gallouët, Thierry, Gariepy, Ron, Pierre, Michel, Vazquez, Juan Luis},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {-Laplacian; existence; uniqueness; entropy condition},
language = {eng},
number = {2},
pages = {241-273},
publisher = {Scuola normale superiore},
title = {An $L^1$-theory of existence and uniqueness of solutions of nonlinear elliptic equations},
url = {http://eudml.org/doc/84205},
volume = {22},
year = {1995},
}

TY - JOUR
AU - Bénilan, Philippe
AU - Boccardo, Lucio
AU - Gallouët, Thierry
AU - Gariepy, Ron
AU - Pierre, Michel
AU - Vazquez, Juan Luis
TI - An $L^1$-theory of existence and uniqueness of solutions of nonlinear elliptic equations
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1995
PB - Scuola normale superiore
VL - 22
IS - 2
SP - 241
EP - 273
LA - eng
KW - -Laplacian; existence; uniqueness; entropy condition
UR - http://eudml.org/doc/84205
ER -

References

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Citations in EuDML Documents

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  1. Fahd Karami, Compétition Réaction-Diffusion et comportement asymptotique d’un problème d’obstacle doublement non linéaire
  2. Albo Carlos Cavalheiro, Existence of entropy solutions for degenerate quasilinear elliptic equations in L 1
  3. François Murat, Équations elliptiques non linéaires monotones avec un deuxième membre L 1 ou mesure
  4. Lucio Boccardo, Integral inequalities and summability of solutions of some differential problems
  5. F. Andreu, N. Igbida, J. M. Mazón, J. Toledo, L 1 existence and uniqueness results for quasi-linear elliptic equations with nonlinear boundary conditions
  6. Philippe Bénilan, Jose Carrillo, Petra Wittbold, Renormalized entropy solutions of scalar conservation laws
  7. Abdelali Sabri, Ahmed Jamea, Hamad Talibi Alaoui, Existence of entropy solutions to nonlinear degenerate parabolic problems with variable exponent and L 1 -data
  8. Chiara Leone, Stability results for obstacle problems with measure data
  9. Lucio Boccardo, Haïm Brezis, Some remarks on a class of elliptic equations with degenerate coercivity
  10. Tommaso Leonori, Bounded Solutions for Some Dirichlet Problems with L 1 ( Ω ) Data

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