Geodesic
Existence of positive solutions to a superlinear elliptic problem
Electronic Journal of Differential Equations, Tome 2001 (2001).

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

Summary: We study the existence of positive solutions to the semilinear elliptic problem $$ - \epsilon^2 \Delta u + V(z) u = f(u) $$ in $\mathbb{R}^N (N\geq 2)$, where the function $f$ has superlinear growth at infinity without any restriction from above on its growth.
Classification : 35J20, 35J10, 35A15
Keywords: superlinear, mountain pass, Schrödinger equation, elliptic equation 
@article{EJDE_2001__2001__a94,
     author = {Alves, C.O. and Miyagaki, O.H.},
     title = {Existence of positive solutions to a superlinear elliptic problem},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2001},
     year = {2001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a94/}
}
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Alves, C.O.; Miyagaki, O.H. Existence of positive solutions to a superlinear elliptic problem. Electronic Journal of Differential Equations, Tome 2001 (2001). http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a94/