Qualitative analysis of singular solutions for nonlinear elliptic equations with potentials

Jann Long Chern*, Eiji Yanagida

*此作品的通信作者

研究成果: 雜誌貢獻期刊論文同行評審

摘要

We consider the structure of radially symmetric singular solutions for elliptic equations with the Hardy term and power nonlinearity. In the critical case, it is shown that there exists a unique non-oscillatory singular solution, around which infinitely many singular solutions are oscillating. We also study the subcritical and supercritical cases and make clear the difference of structure from the critical case. Our results can be applied to various problems such as the minimizing problem related to the Caffarelli–Kohn–Nirenberg inequality, the scalar field equation and a self-replication model.

原文英語
頁(從 - 到)853-874
頁數22
期刊Mathematische Annalen
381
發行號1-2
DOIs
出版狀態已發佈 - 2021 十月
對外發佈

ASJC Scopus subject areas

  • 數學(全部)

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