Geodesic
Existence of solutions for quasilinear degenerate elliptic equations
Electronic journal of differential equations, Tome 2001 (2001)
In this paper, we study the existence of solutions for quasilinear degenerate elliptic equations of the form $A(u)+g(x,u,\nabla u)=h$, where $A$ is a Leray-Lions operator from $W_0^{1,p}(\Omega,w)$ to its dual. On the nonlinear term $g(x,s,\xi)$, we assume growth conditions on $\xi$, not on $s$, and a sign condition on $s$.
Classification : 35J15, 35J20, 35J70
Keywords: weighted Sobolev spaces, Hardy inequality, quasilinear degenerate elliptic operators 
@article{EJDE_2001__2001__a187,
     author = {Akdim,  Y. and Azroul,  E. and Benkirane,  A.},
     title = {Existence of solutions for quasilinear degenerate elliptic equations},
     journal = {Electronic journal of differential equations},
     year = {2001},
     volume = {2001},
     zbl = {0988.35065},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a187/}
}
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AU  - Benkirane,  A.
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%A Benkirane,  A.
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%J Electronic journal of differential equations
%D 2001
%V 2001
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%F EJDE_2001__2001__a187
Akdim,  Y.; Azroul,  E.; Benkirane,  A. Existence of solutions for quasilinear degenerate elliptic equations. Electronic journal of differential equations, Tome 2001 (2001). http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a187/