Geodesic
On the Keldyš-Fichera boundary-value problem for degenerate quasilinear elliptic equations
Electronic journal of differential equations, Tome 2002 (2002)
We prove existence and uniqueness theorems for the Keldys-Fichera boundary-value problem using pseudo-monotone operators. The equation studied here is quasilinear, elliptic, and its set of degenerate points may be of non-zero measure. We also obtain comparison and maximum principles for this problem.
Classification : 35J65, 35J30
Keywords: keldys-fichera, existence, uniqueness, maximum principle, comparison principle 
@article{EJDE_2002__2002__a4,
     author = {Chen,  Zuchi and Xuan,  Benjin},
     title = {On the {Keldy\v{s}-Fichera} boundary-value problem for degenerate quasilinear elliptic equations},
     journal = {Electronic journal of differential equations},
     year = {2002},
     volume = {2002},
     zbl = {1068.35513},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a4/}
}
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%A Xuan,  Benjin
%T On the Keldyš-Fichera boundary-value problem for degenerate quasilinear elliptic equations
%J Electronic journal of differential equations
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%V 2002
%U http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a4/
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Chen,  Zuchi; Xuan,  Benjin. On the Keldyš-Fichera boundary-value problem for degenerate quasilinear elliptic equations. Electronic journal of differential equations, Tome 2002 (2002). http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a4/