Geodesic
Semilinear elliptic problems involving Hardy-Sobolev-Maz'ya potential and Hardy-Sobolev critical exponents
Electronic journal of differential equations, Tome 2016 (2016)
In this article, we study a class of semilinear elliptic equations involving Hardy-Sobolev critical exponents and Hardy-Sobolev-Maz'ya potential in a bounded domain. We obtain the existence of positive solutions using the Mountain Pass Lemma.
Classification : 35B09, 35B33, 35J75
Keywords: Hardy-Sobolev-maz'ya potential, Hardy-Sobolev critical exponents, positive solution, mountain pass lemma, local palais-Smale condition 
@article{EJDE_2016__2016__a48,
     author = {Jiang,  Rui-Ting and Tang,  Chun-Lei},
     title = {Semilinear elliptic problems involving {Hardy-Sobolev-Maz'ya} potential and {Hardy-Sobolev} critical exponents},
     journal = {Electronic journal of differential equations},
     year = {2016},
     volume = {2016},
     zbl = {1333.35021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a48/}
}
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AU  - Tang,  Chun-Lei
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JO  - Electronic journal of differential equations
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%A Tang,  Chun-Lei
%T Semilinear elliptic problems involving Hardy-Sobolev-Maz'ya potential and Hardy-Sobolev critical exponents
%J Electronic journal of differential equations
%D 2016
%V 2016
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%G en
%F EJDE_2016__2016__a48
Jiang,  Rui-Ting; Tang,  Chun-Lei. Semilinear elliptic problems involving Hardy-Sobolev-Maz'ya potential and Hardy-Sobolev critical exponents. Electronic journal of differential equations, Tome 2016 (2016). http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a48/