Infinitely many solutions for a semilinear elliptic equation in N via a perturbation method

Marino Badiale

Annales Polonici Mathematici (2002)

  • Volume: 79, Issue: 2, page 139-156
  • ISSN: 0066-2216

Abstract

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

How to cite

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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 -

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