Higher order Elliptic problems with Critical Sobolev Growth on a compact Riemannian Manifold: Best constants and existence.
17 juin 2016 @ 14:00 – 15:00 – We investigate the existence of solutions to a nonlinear elliptic problem involving the critical Sobolev exponent for a Polyharmomic operator on a Riemannian manifold   M. We first show that the best constant of the Sobolev embedding on a manifold can be chosen as close as one wants to the Euclidean one, and as a consequence […]