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Explicit L-infinity-norm estimates via Morse index for the bi-harmonic and tri-harmonic semilinear problems
Journal article   Peer reviewed

Explicit L-infinity-norm estimates via Morse index for the bi-harmonic and tri-harmonic semilinear problems

Foued Mtiri, Abdellaziz Harrabi and Dong Ye
Manuscripta mathematica, Vol.159(1-2), pp.57-79
01/05/2019
DOI: https://doi.org/10.1007/s00229-018-1037-9

Abstract

Mathematics Physical Sciences Science & Technology
In this paper, we establish L-infinity and L-p estimates for solutions of some polyharmonic elliptic equations via the Morse index. As far as we know, it seems to be the first time that such explicit estimates are obtained for polyharmonic problems.

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