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 Three nontrivial nonnegative solutions for some critical $p$-Laplacian systems with lower-order negative perturbations Bull. Korean Math. Soc. 2017 Vol. 54, No. 1, 125-144 https://doi.org/10.4134/BKMS.b150975Published online January 31, 2017 Chang-Mu Chu, Chun-Yu Lei, Jiao-Jiao Sun, and Hong-Min Suo Guizhou Minzu University, Guizhou Minzu University, Guizhou Minzu University, Guizhou Minzu University Abstract : Three nontrivial nonnegative solutions for some critical quasilinear elliptic systems with lower-order negative perturbations are obtained by using the Ekeland's variational principle and the mountain pass theorem. Keywords : quasilinear elliptic systems, critical Sobolev exponent, sublinear perturbations, Ekeland's variational principle, mountain pass theorem MSC numbers : 35J50, 35J55, 58J20 Downloads: Full-text PDF