Nonexistence of extremals for the adjoint restriction inequality on the   hyperboloid
  We study the problem of existence of extremizers for the $L^2$ to $L^p$ adjoint Fourier restriction inequalities on the hyperboloid in dimensions 3 and 4, in which cases $p$ is an even integer. We will use the method developed by Foschi to show that extremizers do not exist. 
Ren\'e Quilodr\'an
math.CA math.AP