Caltech/UCLA/USC Joint Analysis Seminar
Along with Sobolev's inequality, Morrey's estimate is the other inequality which sets the stage for the theory of Sobolev spaces. This local estimate extends naturally to a global inequality, which we call Morrey's inequality. In this talk, we'll give a qualitative description of the extremals of this inequality. We will also explain why these extremals have a limit at infinity and also explain how to take a step in quantifying this convergence.