On a class of noncooperative fourth-order elliptic systems with nonlocal terms and critical growth

In this paper, we consider a class of noncooperative fourth-order elliptic systems involving nonlocal terms and critical growth in a bounded domain. With the help of Limit Index Theory due to Li \cite{Li} combined with the concentration compactness principle, we establish the existence of infinitely...

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Bibliographic Details
Published inJournal of the Korean Mathematical Society pp. 1419 - 1439
Main Author Nguyen Thanh Chung
Format Journal Article
LanguageEnglish
Published 대한수학회 01.09.2019
Subjects
수학
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Summary:In this paper, we consider a class of noncooperative fourth-order elliptic systems involving nonlocal terms and critical growth in a bounded domain. With the help of Limit Index Theory due to Li \cite{Li} combined with the concentration compactness principle, we establish the existence of infinitely many solutions for the problem under the suitable conditions on the nonlinearity. Our results significantly complement and improve some recent results on the existence of solutions for fourth-order elliptic equations and Kirchhoff type problems with critical growth. KCI Citation Count: 0
ISSN:0304-9914
2234-3008
DOI:10.4134/JKMS.j180716