Infinitely many solutions for the Schrödinger equations in ℝᴺ with critical growth

Title
Infinitely many solutions for the Schrödinger equations in ℝᴺ with critical growth
Publication Date
2012
Author(s)
Chen, Wenyi
Wei, Juncheng
Yan, Shusen
Type of document
Journal Article
Language
en
Entity Type
Publication
Publisher
Academic Press
Place of publication
United States of America
DOI
10.1016/j.jde.2011.09.032
UNE publication id
une:11838
Abstract
We consider the following nonlinear problem in ℝᴺ ... where V (r) is a bounded non-negative function, N ≥ 5. We show that if r²V (r) has a local maximum point, or local minimum point r0 >0 with V (r0) > 0, then (0.1) has infinitely many non-radial solutions, whose energy can be made arbitrarily large.
Link
link
Citation
Journal of Differential Equations, 252(3), p. 2425-2447
ISSN
1090-2732
0022-0396
Start page
2425
End page
2447

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