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

This article deals with the existence of multiple solutions of a fourth order elliptic equation with a critical nonlinearity on a bounded domain of $\mathbb{R}^n, n\geq 5$. We develop an approach to overcome the lack of compactness of the problem and we establish under a generic hypothesis a Morse i...

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Hlavní autoři:	Khadijah Sharaf, Hichem Hajaiej
Médium:	Artigo
Jazyk:	Inglês
Vydáno:	University of Szeged 2019-05-01
Edice:	Electronic Journal of Qualitative Theory of Differential Equations
Témata:	fourth order pde critical nonlinearity variational problem critical points at infinity
On-line přístup:	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=7446
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