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http://dx.doi.org/10.4134/BKMS.2013.50.1.057

EXISTENCE OF THREE SOLUTIONS FOR A CLASS OF NAVIER QUASILINEAR ELLIPTIC SYSTEMS INVOLVING THE (p1, …, pn)-BIHARMONIC  

Li, Lin (School of Mathematics and Statistics Southwest University, Department of Science Sichuan University of Science and Engineering)
Publication Information
Bulletin of the Korean Mathematical Society / v.50, no.1, 2013 , pp. 57-71 More about this Journal
Abstract
In this paper, we establish the existence of at least three solutions to a Navier boundary problem involving the ($p_1$, ${\cdots}$, $p_n$)-biharmonic systems. We use a variational approach based on a three critical points theorem due to Ricceri [B. Ricceri, A three critical points theorem revisited, Nonlinear Anal. 70 (2009), 3084-3089].
Keywords
($p_1$, ${\cdots}$, $p_n$)-biharmonic; Navier condition; multiple solutions; three critical points theorem;
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