Geodesic
Existence and multiplicity of positive solutions for indefinite semilinear elliptic problems in $\Bbb R^N$
Electronic Journal of Differential Equations, Tome 2014 (2014).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 $\Bbb R^N$},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2014},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a98/}
}
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Cheng, Yi-Hsin; Wu, Tsung-Fang. Existence and multiplicity of positive solutions for indefinite semilinear elliptic problems in $\Bbb R^N$. Electronic Journal of Differential Equations, Tome 2014 (2014). http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a98/