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Applied Analysis
Seminar information archive ～05/27｜Next seminar｜Future seminars 05/28～
| Date, time & place | Thursday 16:00 - 17:30 002Room #002 (Graduate School of Math. Sci. Bldg.) |
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2025/06/05
16:00-17:30 Room #128 (Graduate School of Math. Sci. Bldg.)
Norihisa Ioku (Tohoku University)
Multiplicity of singular solutions for semilinear elliptic equations with superlinear source terms (Japanese)
Norihisa Ioku (Tohoku University)
Multiplicity of singular solutions for semilinear elliptic equations with superlinear source terms (Japanese)
[ Abstract ]
The structure of singular solutions to semilinear elliptic equations has been well understood in the case of power-type nonlinearities in three or higher dimensions. In this talk, we introduce a classification of general monotone increasing nonlinearities based on their growth rates, and then explain a method for constructing radially symmetric singular solutions according to this classification. In particular, we present recent results on the multiplicity of singular solutions in the sub-Sobolev critical regime. This talk is based on a joint work with Professor Yohei Fujishima (Shizuoka University).
The structure of singular solutions to semilinear elliptic equations has been well understood in the case of power-type nonlinearities in three or higher dimensions. In this talk, we introduce a classification of general monotone increasing nonlinearities based on their growth rates, and then explain a method for constructing radially symmetric singular solutions according to this classification. In particular, we present recent results on the multiplicity of singular solutions in the sub-Sobolev critical regime. This talk is based on a joint work with Professor Yohei Fujishima (Shizuoka University).
