Geodesic
Existence and multiplicity of positive solutions for indefinite semilinear elliptic problems in \(\mathbb R^N\)
Electronic journal of differential equations, Tome 2014 (2014)
In this article, we study a class of indefinite semilinear elliptic problems in R^N. By using the fibering maps and studying some properties of the Nehari manifold, we obtain the existence and multiplicity of positive solutions.
Classification : 35J20, 35J61
Keywords: ground state solutions, multiple positive solutions, Nehari manifold, variational method 
@article{EJDE_2014__2014__a98,
     author = {Cheng,  Yi-Hsin and Wu,  Tsung-Fang},
     title = {Existence and multiplicity of positive solutions for indefinite semilinear elliptic problems in \(\mathbb {R^N\)}},
     journal = {Electronic journal of differential equations},
     year = {2014},
     volume = {2014},
     zbl = {1301.35015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a98/}
}
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AU  - Wu,  Tsung-Fang
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%A Wu,  Tsung-Fang
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%J Electronic journal of differential equations
%D 2014
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%U http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a98/
%G en
%F EJDE_2014__2014__a98
Cheng,  Yi-Hsin; Wu,  Tsung-Fang. Existence and multiplicity of positive solutions for indefinite semilinear elliptic problems in \(\mathbb R^N\). Electronic journal of differential equations, Tome 2014 (2014). http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a98/