A Supercritical Elliptic Equation in the Annulus

Explore a comprehensive lecture on solving Sobolev-supercritical elliptic problems, focusing on overcoming the lack of compactness due to absent Sobolev embeddings. Delve into how symmetry and monotonicity properties can be leveraged to address this challenge. Examine a recent breakthrough in finding new axially symmetric solutions to a semilinear elliptic equation, achieved through a combination of variational and topological techniques. Learn about this collaborative work involving A. Boscaggin, F. Colasuonno, and T. Weth, presented by Benedetta Noris at the Hausdorff Center for Mathematics.

Benedetta Noris: A supercritical elliptic equation in the annulus