A Multiplicity Result for the Yamabe Problem on Sn

doi:10.1006/jfan.1999.3458

Journal of Functional Analysis

Volume 168, Issue 2, 10 November 1999, Pages 529-561

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Abstract

We prove a multiplicity result for the Yamabe problem on the manifold (S, g), where g is a perturbation of the standard metric g₀ of Sⁿ. Solutions are found by variational methods via an abstract perturbation result.

Keywords

Yamabe problem

elliptic equations

positive solutions

multiples solutions

critical exponent

Cited by (0)

^☆: Communicated by H. Brezis

¹: Supported by M.U.R.S.T., Variational Methods and Nonlinear Differential Equations.

Journal of Functional Analysis

Regular ArticleA Multiplicity Result for the Yamabe Problem on Sn☆

Abstract

Keywords

Regular Article
A Multiplicity Result for the Yamabe Problem on Sⁿ☆