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학술대회/행사

초록검색

제출번호(No.) 0510
분류(Section) Invited Talk
분과(Session) Variational Methods in Nonlinear Problems (SS-15)
영문제목
(Title(Eng.))
Existence and asymptotic behavior of solutions in the Chern-Simons O(3) sigma model
저자(Author(s))
Kwangseok Choe1, Jongmin Han1
Inha University1, Kyung-Hee University2
초록본문(Abstract) In this talk an elliptic equation arising from the Chern-Simons O(3) sigma model is introduced.
Unlike the well-known Chern-Simons Higgs vortex equation, this equation has both positive and negative singular sources. We prove multiple exitence results for doubly periodic solutions in the Chern-Simons O(3) sigma model by using the variational method as well as the super/subsolution method. Then we deal with asymptotic behavior of two different solutions. We also discuss how the negative singular sources influence asymptotic behavior of solutions.
분류기호
(MSC number(s))
81T13, 35B40
키워드(Keyword(s)) Chern-Simons O(3) sigma model, periodic solutions
강연 형태
(Language of Session (Talk))
English