Geodesic
Dirichlet problem for quasi-linear elliptic equations
Electronic journal of differential equations, Tome 2002 (2002)
We study the Dirichlet Problem associated to the quasilinear elliptic problem

$ -\sum_{i=1}^{n}\frac{\partial }{\partial x_i}{\cal A}_i(x,u(x), \nabla u(x))+{\cal B}(x,u(x),\nabla u(x))=0. $

Then we define a potential theory related to this problem and we show that the sheaf of continuous solutions satisfies the Bauer axiomatic theory.
Classification : 31C15, 35B65, 35J60
Keywords: supersolution, Dirichlet problem, obstacle problem, nonlinear potential theory 
@article{EJDE_2002__2002__a128,
     author = {Baalal,  Azeddine and Rhouma,  Nedra BelHaj},
     title = {Dirichlet problem for quasi-linear elliptic equations},
     journal = {Electronic journal of differential equations},
     year = {2002},
     volume = {2002},
     zbl = {1014.31004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a128/}
}
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AU  - Rhouma,  Nedra BelHaj
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%A Rhouma,  Nedra BelHaj
%T Dirichlet problem for quasi-linear elliptic equations
%J Electronic journal of differential equations
%D 2002
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Baalal,  Azeddine; Rhouma,  Nedra BelHaj. Dirichlet problem for quasi-linear elliptic equations. Electronic journal of differential equations, Tome 2002 (2002). http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a128/