On the existence of maximizers for functionals with critical exponential growth in R^2

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dc.creatorTarsi, Cristina
dc.date2006-09-28
dc.date.accessioned2026-07-07T07:25:22Z
dc.date.available2026-07-07T07:25:22Z
dc.descriptionIn 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.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0609791
dc.identifierhttp://arxiv.org/abs/math/0609791
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116692
dc.subjectAnalysis of PDEs
dc.subject46E35
dc.titleOn the existence of maximizers for functionals with critical exponential growth in R^2
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