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A Morse inequality for a fourth order elliptic equation on a bounded domain
Journal article   Open access  Peer reviewed

A Morse inequality for a fourth order elliptic equation on a bounded domain

Khadijah Sharaf and Hichem Hajaiej
Electronic journal of qualitative theory of differential equations, Vol.2019(35), pp.1-20
01/01/2019
DOI: https://doi.org/10.14232/ejqtde.2019.1.35

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
This article deals with the existence of multiple solutions of a fourth order elliptic equation with a critical nonlinearity on a bounded domain of R-n, n >= 5. We develop an approach to overcome the lack of compactness of the problem and we establish under a generic hypothesis a Morse inequality providing a lower bound of the number of solutions.
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https://doi.org/10.14232/ejqtde.2019.1.35View
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