On the existence of maximizers for functionals with critical exponential growth in R^2
Analysis of PDEs
2007-05-23 v1
Abstract
In this paper we establish the existence of extremal functions for weighted functionals with critical exponential growth in R^2, which arise from Henon-type equations. The proof is based on the notion of spherical symmetrization with respect to a measure, which allows us to reduce the problem to a one dimensional functional as in the proof due to Carleson and Chang for the unweighted case.
Keywords
Cite
@article{arxiv.math/0609791,
title = {On the existence of maximizers for functionals with critical exponential growth in R^2},
author = {Cristina Tarsi},
journal= {arXiv preprint arXiv:math/0609791},
year = {2007}
}
Comments
13 pages