抄録
In this paper, we study the existence of radial and nonradial solutions to the scalar field equations with fractional operators. For radial solutions, we prove the existence of infinitely many solutions under N ≥ 2. We also show the existence of least energy solution (with the Pohozaev identity) and its mountain pass characterization. For nonradial solutions, we prove the existence of at least one nonradial solution under N ≥ 4 and infinitely many nonradial solutions under either N = 4 or N ≥ 6. We treat both of the zero mass and the positive mass cases.
本文言語 | English |
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ページ(範囲) | 3501-3530 |
ページ数 | 30 |
ジャーナル | Communications on Pure and Applied Analysis |
巻 | 19 |
号 | 7 |
DOI | |
出版ステータス | Published - 2020 7 |
ASJC Scopus subject areas
- Analysis
- Applied Mathematics