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http://dx.doi.org/10.4134/BKMS.b150975

THREE NONTRIVIAL NONNEGATIVE SOLUTIONS FOR SOME CRITICAL p-LAPLACIAN SYSTEMS WITH LOWER-ORDER NEGATIVE PERTURBATIONS  

Chu, Chang-Mu (College of Science Guizhou Minzu University)
Lei, Chun-Yu (College of Science Guizhou Minzu University)
Sun, Jiao-Jiao (College of Science Guizhou Minzu University)
Suo, Hong-Min (College of Science Guizhou Minzu University)
Publication Information
Bulletin of the Korean Mathematical Society / v.54, no.1, 2017 , pp. 125-144 More about this Journal
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;
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