Infinitely many positive solutions for a nonlinear field equation with super-critical growth

Title
Infinitely many positive solutions for a nonlinear field equation with super-critical growth
Publication Date
2016
Author(s)
Musso, Monica
Wei, Juncheng
Yan, Shusen
Type of document
Journal Article
Language
en
Entity Type
Publication
Publisher
Wiley-Blackwell Publishing Ltd
Place of publication
United Kingdom
DOI
10.1112/plms/pdv063
UNE publication id
une:20406
Abstract
We consider the following nonlinear field equation with super-critical growth: (∗) −Δu + λu = Q(y)u(N+2)/(N−2), u>0 inRN+m, u(y) →0 as |y| → +∞, where m 1, λ 0 and Q(y) is a bounded positive function. We show that equation (*) has infinitely many positive solutions under certain symmetry conditions on Q(y).
Link
link
Citation
Proceedings of the London Mathematical Society, 112(1), p. 1-26
ISSN
1460-244X
0024-6115
Start page
1
End page
26

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