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We introduce a method to treat a semilinear elliptic equation in (see equation (1) below). This method is of a perturbative nature. It permits us to skip the problem of lack of compactness of but requires an oscillatory behavior of the potential b.
Marino Badiale. "Infinitely many solutions for a semilinear elliptic equation in $ℝ^N$ via a perturbation method." Annales Polonici Mathematici 79.2 (2002): 139-156. <http://eudml.org/doc/281089>.
@article{MarinoBadiale2002, abstract = {We introduce a method to treat a semilinear elliptic equation in $ℝ^N$ (see equation (1) below). This method is of a perturbative nature. It permits us to skip the problem of lack of compactness of $ℝ^N$ but requires an oscillatory behavior of the potential b.}, author = {Marino Badiale}, journal = {Annales Polonici Mathematici}, keywords = {semilinear equation; oscillatory potential; critical point}, language = {eng}, number = {2}, pages = {139-156}, title = {Infinitely many solutions for a semilinear elliptic equation in $ℝ^N$ via a perturbation method}, url = {http://eudml.org/doc/281089}, volume = {79}, year = {2002}, }
TY - JOUR AU - Marino Badiale TI - Infinitely many solutions for a semilinear elliptic equation in $ℝ^N$ via a perturbation method JO - Annales Polonici Mathematici PY - 2002 VL - 79 IS - 2 SP - 139 EP - 156 AB - We introduce a method to treat a semilinear elliptic equation in $ℝ^N$ (see equation (1) below). This method is of a perturbative nature. It permits us to skip the problem of lack of compactness of $ℝ^N$ but requires an oscillatory behavior of the potential b. LA - eng KW - semilinear equation; oscillatory potential; critical point UR - http://eudml.org/doc/281089 ER -