Geodesic
Infinitely many solutions for a semilinear elliptic equation in ${\Bbb R}^N$ via a perturbation method
Marino Badiale1
1 Dipartimento di Matematica Università di Torino via Carlo Alberto 10 10123 Torino, Italy
Annales Polonici Mathematici, Tome 79 (2002) no. 2, pp. 139-156

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We introduce a method to treat a semilinear elliptic equation in ${{{\mathbb R}}^N}$ (see equation (1) below). This method is of a perturbative nature. It permits us to skip the problem of lack of compactness of ${{{\mathbb R}}^N}$ but requires an oscillatory behavior of the potential $b$.
DOI : 10.4064/ap79-2-5
Keywords: introduce method treat semilinear elliptic equation mathbb see equation below method perturbative nature permits skip problem lack compactness mathbb requires oscillatory behavior potential

Marino Badiale 1

1 Dipartimento di Matematica Università di Torino via Carlo Alberto 10 10123 Torino, Italy 
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Marino Badiale. Infinitely many solutions for a semilinear
 elliptic equation in ${\Bbb R}^N$ via a perturbation method. Annales Polonici Mathematici, Tome 79 (2002) no. 2, pp. 139-156. doi: 10.4064/ap79-2-5

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