Geodesic
Existence of positive solutions to nonlinear elliptic problem in the half space
Electronic journal of differential equations, Tome 2005 (2005)
This paper concerns nonlinear elliptic equations in the half space $n\geq 2$, with a nonlinear term satisfying some conditions related to a certain Kato class of functions. We prove some existence results and asymptotic behaviour for positive solutions using a potential theory approach.
Classification : 34B27, 34J65
Keywords: Green function, elliptic equation, positive solution 
@article{EJDE_2005__2005__a232,
     author = {Bachar,  Imed and M\^aagli,  Habib and Zribi,  Malek},
     title = {Existence of positive solutions to nonlinear elliptic problem in the half space},
     journal = {Electronic journal of differential equations},
     year = {2005},
     volume = {2005},
     zbl = {1134.35330},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a232/}
}
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Bachar,  Imed; Mâagli,  Habib; Zribi,  Malek. Existence of positive solutions to nonlinear elliptic problem in the half space. Electronic journal of differential equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a232/