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

Author(s)
Chen, Wenyi
Wei, Juncheng
Yan, Shusen
Publication Date
2012
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.
Citation
Journal of Differential Equations, 252(3), p. 2425-2447
ISSN
1090-2732
0022-0396
Link
https://hdl.handle.net/1959.11/11639
Publisher
Academic Press
Title
Infinitely many solutions for the Schrödinger equations in ℝᴺ with critical growth
Type of document
Journal Article
Entity Type
Publication

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