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Entropy solutions of nonlinear elliptic equations with measurable boundary conditions and without strict monotonocity conditions

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Abstract (2. Language): 
We prove some existence results for nonlinear degenerate elliptic problems of the form Au+ g(x, u) = f
56-71

REFERENCES

References: 

[1] Y. Akdim, E. Azroul and A. Benkirane, Existence of Solution for Quasilinear Degenerated Elliptic
Equations, Electronic J. Diff. Equ., Vol. 2001, N 71, (2001) pp 1-19.
[2] Y. Akdim, E. Azroul and A. Benkirane, Psudo-monotonicity and Degenerated Elliptic operator of
second order, Electronic J. Diff. Equ., conference 09, 2003, N 71, (2001) pp 9-24.
[3] L. Boccardo,A remark on some nonlinear elliptic problems, Electron. J. Diff. Eqns. Conf. 08, 2002,
pp. 47-52.
[4] L. Boccardo, L. Orsina, Existence Results for Dirichlet Problem in L1 via Minty’s lemma, Applicable
Ana (1999) pp 309-313.
REFERENCES 71
[5] H. Brezis, Operateurs Maximaux Monotones et Semi-groupes de Contractions dans les Espaces de
Hilbert, North-Holland Mathematics Studies, No. 5. Notas de Matemática (50). North-Holland
Publishing Co., Amsterdam-London; American Elsevier Publishing Co., Inc., New York, 1973,
MR 50 6= 1060 Zbl 252.47055.
[6] F. E. Browder, Existence theorems for nonlinear partial differential equations, Global Analysis
(Berkeley, 1968), Proc. Sympos. Pure Math., no. XVI, AMS, Providence, 1970, pp. 1-60, MR
42 6= 4855.
[7] P. Drabek, A. KUFNER and V. Mustonen, Pseudo-monotonicity and degenerated or singular elliptic
operators, Bull. Austral. Math. Soc. Vol. 58 (1998), 213-221.
[8] P. Drabek, A. Kufner and F. Nicolosi, Non linear elliptic equations, singular and degenerate cases,
University of West Bohemia, (1996).
[9] A. Kufner, Weighted Sobolev Spaces, John Wiley and Sons, (1985).
[10] J.L. Lions, Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod, Paris
(1969).
[11] G. J. Minty, Monotone (nonlinear) operators in Hilbert space, Duke Math. J. 29 (1962),
[12] M.L. Visik, Solvability of the first boundary value problem for quasilinear equations with rapidly
increasing coefficients in Orlicz classes, Dok1. Akad. Nauk SSSR 151, 1963, pp. 758-761=Sovier
math. Dok1. 4 (1963), 1060-1064. MR 27 6= 5032.

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