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Least energy solutions of the Emden–Fowler equation in hollow thin symmetric domains

Authors
Journal
Journal of Mathematical Analysis and Applications
0022-247X
Publisher
Elsevier
Publication Date
Volume
406
Issue
1
Identifiers
DOI: 10.1016/j.jmaa.2013.04.068
Keywords
  • Emden–Fowler Equation
  • Group Invariant Solution
  • Least Energy Solution
  • Positive Solution
  • Variational Method

Abstract

Abstract In this paper, the Emden–Fowler equation is studied in a hollow thin domain which is invariant under the action of a closed subgroup of the orthogonal group. Then it is proved that if the domain is thin enough, a least energy solution is not group invariant.

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