| [18.03.22] 수학과 콜로퀴움 | |||||
| 작성자 | 하** | 작성일 | 2018-03-12 | 조회수 | 356 |
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수학과 강연회 1. 강연자 : Ratnasingham 2. 소속 : University of North Carolina at Greensboro 3. 강연일시 : 3월 22일 (목) 5시 4. 장소 : 8-426호 5. 제목 : S-SHAPED BIFURCATION DIAGRAMS IN EXTERIOR DOMAINS 6. Abstract : We study a nonlinear eigenvalue problem on the exterior to a simply connected bounded domain in R^N containing the origin. We consider positive weak solutions satisfying Dirichlet boundary conditions on the compact boundary and decaying to zero at in finity. We discuss multiplicity and uniqueness results of solutions with respect to a bifurcation parameter and conjecture an S-shaped bifurcation diagram for positive reaction terms which are singular at the origin and sublinear at in finity. As a by-product, on regions exterior to a ball with radially symmetric weight functions, we obtain radial symmetry of solutions when uniqueness holds |
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