Special Session 123: Nonlinear phenomena in elliptic and parabolic equations
A simple proof of attainability for the Sobolev inequality
Megumi Sano
Nara Wowen`s University Japan
Co-Author(s):
Abstract:
We give a simple proof of the existence of a minimizer for the Sobolev inequality.
Our proof is based on a representation formula via a cut-off fundamental solution.