Infinitely many solutions for a semilinear elliptic equation in ℝN via a perturbation method
Marino Badiale
Annales Polonici Mathematici, Tome 79 (2002), p. 139-156 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

We introduce a method to treat a semilinear elliptic equation in ℝN (see equation (1) below). This method is of a perturbative nature. It permits us to skip the problem of lack of compactness of ℝN but requires an oscillatory behavior of the potential b.

Publié le : 2002-01-01
EUDML-ID : urn:eudml:doc:281089 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap79-2-5,
     author = {Marino Badiale},
     title = {Infinitely many solutions for a semilinear elliptic equation in $$\mathbb{R}$^N$ via a perturbation method},
     journal = {Annales Polonici Mathematici},
     volume = {79},
     year = {2002},
     pages = {139-156},
     zbl = {1130.35334},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap79-2-5}
}

Marino Badiale. Infinitely many solutions for a semilinear elliptic equation in $ℝ^N$ via a perturbation method. Annales Polonici Mathematici, Tome 79 (2002) pp. 139-156. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap79-2-5/