Abstract:
We introduce a unified approach to the method of Nehari manifold for functionals which have a local minimum at 0, where this method is applied to the problem of finding ground states. We also consider a recent generalization of this method to problems where 0 is a saddle point of the functional. These two lectures are based on the work of A. Szulkin and T. Weth [Handbook of nonconvex analysis and applications, pp. 597–632, 2010].
Biography:
Xingfei Xiang is an Assistant Professor of mathematics at Tongji University. His research interests are the estimates for vector fields and their applications to PDEs, in particular the estimates in L^1 space.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai