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We consider the following nonlinear problem −Δu+V(|y|)u=up,u>0inRN,u∈H1(RN), where V(r) is a positive function, 1<p<[Formula presented]. We show that the multi-bump solutions constructed in  are non-degenerate in a suitable symmetric space. We also use this non-degenerate result to construct new solutions for (0.1).
|Number of pages||26|
|Journal||Journal of Differential Equations|
|Early online date||22 Apr 2022|
|Publication status||Published - 25 Jul 2022|
ASJC Scopus subject areas
- Applied Mathematics
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- 1 Active
Concentration phenomena in nonlinear analysis
Engineering and Physical Sciences Research Council
27/04/20 → 31/03/24
Project: Research council