no. 2
An L 1 -theory of existence and uniqueness of solutions of nonlinear elliptic equations
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 22 (1995) no. 2, pp. 241-273 
@article{ASNSP_1995_4_22_2_241_0,
     author = {B\'enilan, Philippe and Boccardo, Lucio and Gallou\"et, Thierry and Gariepy, Ron and Pierre, Michel and Vazquez, Juan Luis},
     title = {An $L^1$-theory of existence and uniqueness of solutions of nonlinear elliptic equations},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {241--273},
     year = {1995},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 22},
     number = {2},
     mrnumber = {1354907},
     zbl = {0866.35037},
     language = {en},
     url = {https://www.numdam.org/item/ASNSP_1995_4_22_2_241_0/}
}
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
SP  - 241
EP  - 273
VL  - 22
IS  - 2
PB  - Scuola normale superiore
UR  - https://www.numdam.org/item/ASNSP_1995_4_22_2_241_0/
LA  - en
ID  - ASNSP_1995_4_22_2_241_0
ER  - 
%0 Journal Article
%A Bénilan, Philippe
%A Boccardo, Lucio
%A Gallouët, Thierry
%A Gariepy, Ron
%A Pierre, Michel
%A Vazquez, Juan Luis
%T An $L^1$-theory of existence and uniqueness of solutions of nonlinear elliptic equations
%J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
%D 1995
%P 241-273
%V 22
%N 2
%I Scuola normale superiore
%U https://www.numdam.org/item/ASNSP_1995_4_22_2_241_0/
%G en
%F ASNSP_1995_4_22_2_241_0
Bénilan, Philippe; Boccardo, Lucio; Gallouët, Thierry; Gariepy, Ron; Pierre, Michel; Vazquez, Juan Luis. An $L^1$-theory of existence and uniqueness of solutions of nonlinear elliptic equations. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 22 (1995) no. 2, pp. 241-273. https://www.numdam.org/item/ASNSP_1995_4_22_2_241_0/

[B1] Ph. Bénilan, Equations d'évolution dans un espace de Banach quelconque et applications. Thesis, Univ. Orsay, 1972.

[B2] Ph. Bénilan, On the p-Laplacian in L1. Conference at the Analysis Seminar, Dept. of Math., Univ. Wisconsin at Madison, January 1987.

[BBC] Ph. Bénilan - H. Brezis - M.G. Crandall, A semilinear equation in L1. Ann. Scuola Norm. Sup. Pisa Cl. Sci. 2 (1975), 523-555. | Zbl | MR | Numdam

[BC] Ph. Bénilan - M.G. Crandall, Completely accretive operators. In: "Semigroup Theory and Evolution Equations" (Ph. Clément et al. eds.), M. Dekker, 1991, 41-76. | Zbl | MR

[BCP] Ph. Bénilan - M.G. Crandall - A. Pazy, Evolution Equations governed by accretive operators. To appear.

[BeW] Ph. Bénilan - P. Wittbold, Absorptions non linéaires. J. Funct. Anal. 114 (1993), 59-96. | Zbl | MR

[BG1] L. Boccardo - Th. Gallouët, Non linear elliptic and parabolic equations involving measure data. Jour. Funct. Anal. 87 (1989), 149-169. | Zbl | MR

[BG2] L. Boccardo - Th. Gallouët, Nonlinear elliptic equations with right-hand side measures. Comm. Partial Differential Equations 17 (1992), 641-655. | Zbl | MR

[BGV] L. Boccardo - Th. Gallouët - J.L. Vazquez, Nonlinear elliptic equations in R N without growth restrictions on the data. Jour. Diff. Eqns. 105 (1993), 334-363. | Zbl | MR

[BGDM] L. Boccardo - D. Giachetti - J.I. Diaz - F. Murat, Existence of a solution for a weaker form of a nonlinear elliptic equation. In: "Recent advances in nonlinear elliptic and parabolic problems" (Nancy, 1988), Pitman Res. Notes Math. Ser. 208, Longman Sc. Tech., Harlow, 1989, 229-246. | Zbl | MR

[Br] H. Brezis, Opérateurs maximaux monotones et semigroupes de contractions dans les espaces de Hilbert. North Holland, Amsterdam, 1973. | Zbl

[BS] H. Brezis - W. Strauss, Semilinear elliptic equations in L 1. Jour. Math. Soc. Japan 25 (1973), 565-590. | Zbl | MR

[Bw] F.E. Browder, Pseudomonotone operators and nonlinear elliptic boundary-value problems on unbounded domains. Proc. Nat. Acad. Sci. 74 (1977), 2659-2661. | Zbl | MR

[C] M.G. Crandall, An introduction to evolution governed by accretive operators. In: "Dynamical Systems, An International Symposium ", vol. 1 (L. Cesari et al. eds.), Academic Press, New York, 1976, 131-165. | Zbl | MR

[D] A. Dall' Aglio, Alcuni problemi relativi alla H -convergenza di equazioni ellittiche e paraboliche quasilineari. Doctoral Thesis, Roma 1, 1992 (in Italian).

[DBH1] E. Dibenedetto - M.A. Herrero, On the Cauchy problem and initial traces for a degenerate parabolic equation. Trans. Amer. Math. Soc. 314 (1989), 187-224. | Zbl | MR

[DBH2] E. Dibenedetto - M.A. Herrero, Non-negative solutions of the evolution p-Laplacian equation. Initial traces and Cauchy problem when 1 < p < 2. Arch. Rat. Mech. Anal. 111 (1990), 225-290. | Zbl | MR

[DL] R.J. Di Perna - P.L. Lions, On the Cauchy problem for Boltzman equations: Global existence and weak stability. Ann of Math. 130 (1989), 321-366. | Zbl | MR

[GT] D. Gilbarg - N. Trudinger, Elliptic Partial Differential Equations of Second Order. Springer, Berlin, 1983. | Zbl | MR

[K] M.A. Krasnosel'Skii, Topological Methods in the Theory of Nonlinear Integral Equations. Pergamon Press, Oxford, 1965. | Zbl | MR

[Kr] S.N. Kruzhkov, First-order quasilinear equations in several independent variables. Mat. USSR-Sbornik 10 (1970), 217-243. | Zbl

[La] P. Lax, Hyperbolic systems of conservation laws, II. Comm. Pure Applied Maths 10 (1957), 537-566. | Zbl | MR

[Li] J.L. Lions, Quelques méthodes de résolution des problèmes aux limites non linéaires. Dunod, Paris, 1969. | Zbl | MR

[LL] J. Leray - J.L. Lions, Quelques résultats de Vishik sur les problèmes elliptiques semi-linéaires par les méthodes de Minty et Browder. Bull. Soc. Math. France 93 (1965), 97-107. | Zbl | MR | Numdam

[LM] P.L. Lions - F. Murat, Sur les solutions renormalisées d' équations elliptiques non linéaires, to appear.

[M] F. Murat, Soluciones renormalizadas de EDP elipticas no lineales. Publ. Laboratoire d'Analyse Numérique, Univ. Paris 6, R 93023 (1993) [in Spanish].

[R1] J.M. Rakotoson, Resolution of the critical cases for problems with L1-data. Asymptotic Analysis 6 (1993), 229-246. | Zbl | MR

[R2] J.M. Rakotoson, Generalized solutions in a new type of sets for problems with measures as data. Diff. Int. Equations 6 (1993), 27-36. | Zbl | MR

[R3] J.M. Rakotoson, Uniqueness of renormalized solutions in a T-set for the L1-data problem and the link between various formulations. Indiana Univ. Math. J. 43 2 (1994), 285-293. | Zbl | MR

[S] J. Serrin, Pathological solution of elliptic differential equations. Ann. Scuola Norm. Sup. Pisa Cl. Sci. 18 (1964), 385-387. | Zbl | MR | Numdam

[Ta] G. Talenti, Nonlinear elliptic equations, rearrangements of functions and Orlicz spaces. Annali Mat. Pura Appl. 120 (1979), 159-184. | Zbl | MR