MULTIPLICITY RESULTS FOR A NONLINEAR ELLIPTIC PROBLEM INVOLVING THE FRACTIONAL LAPLACIAN
In this paper, we consider a class of superlinear elliptic problems involving trac- tional Laplacian （-△）s/2u = λf（u） in a bounded smooth domain with zero Diriehlet bound- ary condition. We use the method on harmonic extension to study the dependence of the number of sign-changing solutions on the p...
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| Veröffentlicht in: | Acta mathematica scientia 2016-11, Vol.36 (6), p.1793-1803 |
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| container_issue | 6 |
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| container_title | Acta mathematica scientia |
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| creator | 许勇强 谭忠 孙道恒 |
| description | In this paper, we consider a class of superlinear elliptic problems involving trac- tional Laplacian （-△）s/2u = λf（u） in a bounded smooth domain with zero Diriehlet bound- ary condition. We use the method on harmonic extension to study the dependence of the number of sign-changing solutions on the parameter λ. |
| doi_str_mv | 10.1016/S0252-9602(16)30106-0 |
| format | Article |
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| ispartof | Acta mathematica scientia, 2016-11, Vol.36 (6), p.1793-1803 |
| issn | 0252-9602 1572-9087 |
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| source | ScienceDirect Journals (5 years ago - present); Alma/SFX Local Collection |
| subjects | 35J99 45E10 45G05 asymptotic existence fractional Laplacian Laplacian Sobolev trace inequality 分数阶 变号解 多重性 扩展方法 拉普拉斯 有界域 非线性椭圆问题 |
| title | MULTIPLICITY RESULTS FOR A NONLINEAR ELLIPTIC PROBLEM INVOLVING THE FRACTIONAL LAPLACIAN |
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