| Description |
Register in advance for this meeting:
After registering, you will receive a confirmation email containing information about joining the meeting.
Abstract: On a closed 4-manifold, given a smooth non-trivial function f, the prescribing Q-curvature equation in the null case asks to solve Pu =fe^{4u} for u,
where P is the Paneitz operator. A necessary condition for the existence of a solution to the equation is that f is sign-changing; and it is well-known that this equation always admits at least one solution if, in addition, the total integral of f is negative. As an immediate consequence, if we let f be sign-changing andf ≤ ε for sufficiently small ε, then it turns out that a solution exists. In this talk, I will present some results on the behavior of solutions to the equation if we let ε go to zero. This is joint work with Hong Zhang (SCNU, China). |
Math Associates Seminar: Bubbling of Q-curvature equation on 4-manifolds in the null case
Go to day