컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0188 |
|---|---|
| 분류(Section) | Special Session |
| 분과(Session) | (SS-06) Elliptic and Parabolic Equations and Their Applications (SS-06) |
| 발표시간(Time) | 19th-B-13:40 -- 14:00 |
| 영문제목 (Title(Eng.)) |
Legendre-Hardy-Sobolev inequality on bounded domains |
| 저자(Author(s)) |
Jaeyoung Byeon1, Sangdon Jin2, Sang-Hyuck Moon3 KAIST1, Chungbuk National University2, UNIST3 |
| 초록본문(Abstract) | We study the Legendre-Hardy-Sobolev inequality, which can be regarded as a nonlinear version of the Legendre-Hardy inequality. Further, we investigate whether the optimal constant is attained or not; the attainability is meaningful since the minimizer of the optimal constant is a least energy solution of a corresponding nonlinear elliptic equation satisfying a Neumann boundary condition in some typical cases. |
| 분류기호 (MSC number(s)) |
35A23 |
| 키워드(Keyword(s)) | Legendre-Hardy-Sobolev inequality |
| 강연 형태 (Language of Session (Talk)) |
Korean |