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Mountain pass critical points for Paneitz-Branson operators

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Abstract.

Given \((M,g)\) a smooth compact Riemannian manifold of dimension \(n \ge 5\), we study fourth order equations involving Paneitz-Branson type operators and the critical Sobolev exponent.

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Received: 19 June 2001 / Accepted: 27 September 2001 / Published online: 28 February 2002

Esposito's research is supported by M.U.R.S.T. under the national project Variational methods and nonlinear differential equations.

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Esposito, P., Robert, F. Mountain pass critical points for Paneitz-Branson operators. Calc Var 15, 493–517 (2002). https://doi.org/10.1007/s005260100134

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  • DOI: https://doi.org/10.1007/s005260100134

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