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http://dx.doi.org/10.4134/JKMS.j180716

ON A CLASS OF NONCOOPERATIVE FOURTH-ORDER ELLIPTIC SYSTEMS WITH NONLOCAL TERMS AND CRITICAL GROWTH  

Chung, Nguyen Thanh (Department of Mathematics Quang Binh University)
Publication Information
Journal of the Korean Mathematical Society / v.56, no.5, 2019 , pp. 1419-1439 More about this Journal
Abstract
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 [32] 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.
Keywords
Kirchhoff type problems; noncooperative elliptic systems; fourth-order equations; critical exponents; concentration compactness principle;
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