New Solutions for nonlinear Schrödinger equations with critical nonlinearity

Author(s)
Wei, Juncheng
Yan, Shusen
Publication Date
2007
Abstract
We consider the following nonlinear Schrödinger equations in ℝⁿ [**EQUATION**] where V (r) is a radially symmetric positive function. In [2] Ambrosetti, Malchiodi and Ni proved that if [**EQUATION**] has a nondegenerate critical point r₀ ≠ 0 then a layered solution concentrating near r₀ exists. In this paper, we show that if [**EQUATION**] and the dimension n= 3, 4 or 5, another new type of solution exists: this solution has a layer near r₀ and a bubble at the origin.
Citation
Journal of Differential Equations, 237(2), p. 446-472
ISSN
1090-2732
0022-0396
Link
https://hdl.handle.net/1959.11/5629
Publisher
Academic Press
Title
New Solutions for nonlinear Schrödinger equations with critical nonlinearity
Type of document
Journal Article
Entity Type
Publication

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