Existence of entropy solutions for some nonlinear problems in Orlicz spaces
Benkirane, A. ; Bennouna, J.
Abstr. Appl. Anal., Tome 7 (2002) no. 12, p. 85-102 / Harvested from Project Euclid
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We study in the framework of Orlicz Sobolev spaces $W^{1}_{0}L_{M}(\Omega)$ , the existence of entropic solutions to the nonlinear elliptic problems: $-\mathrm{div}a(x,u,\nabla u)+\mathrm{div}\phi (u)= f\mathrm{in}\Omega$ , for the case where the second member of the equation $f\in L^1(\Omega)$ , and $\phi\in(C^0(\mathbb{R}))^N$ .
Publié le : 2002-05-14
Classification:  35J60 
@article{1050348506,
     author = {Benkirane, A. and Bennouna, J.},
     title = {Existence of entropy solutions for some nonlinear problems in Orlicz spaces},
     journal = {Abstr. Appl. Anal.},
     volume = {7},
     number = {12},
     year = {2002},
     pages = { 85-102},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1050348506}
}

Benkirane, A.; Bennouna, J. Existence of entropy solutions for some nonlinear problems in Orlicz spaces. Abstr. Appl. Anal., Tome 7 (2002) no. 12, pp.  85-102. http://gdmltest.u-ga.fr/item/1050348506/