Yeonhyang Kim (kim4y AT cmich DOT edu)
Leela Rakesh (leela.rakesh AT cmich DOT edu)
Xiaoming Zheng (zheng1x AT cmich DOT edu)
If you would like to give a talk, please email any one of us. Fridays without prior reservations are open for talks throughout the CMU academic year.
Fridays, 2:00pm – 3:00pm, on Webex or Perce Hall 223
|
Date |
Speaker |
Title |
| 4/10/2026 |
Shalmali Bandyopadhyay (University of Tennessee at Martin) | Positive Solutions of Elliptic Systems with Superlinear Boundary Nonlinearities: Bifurcation from Zero and Infinity |
| TBA |
TBA | TBA |
Speaker: Shalmali Bandyopadhyay
Title:Positive Solutions of Elliptic Systems with Superlinear Boundary Nonlinearities: Bifurcation from Zero and Infinity
Abstract: We study an elliptic system where the nonlinearity lives entirely on the boundary, with a bifurcation parameter controlling the coupling strength. Using rescaling methods and degree theory, we construct a connected branch of positive solutions bifurcating from infinity as the parameter approaches zero and, under additional conditions near zero, from the trivial solution at an explicit bifurcation point. We establish multiplicity of positive solutions for an intermediate range of parameter values determined by the direction of bifurcation.
Speaker: TBA
Title:
Abstract: