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Existence of an elliptic system involving Pucci operator |
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| Authors: | Jianfu Yang Xiaohui Yu |
| Institution: | aDepartment of Mathematics, Jiangxi Normal University, Nanchang, Jiangxi 330022, People’s Republic of China bWuhan Institute of Physics and Mathematics, P.O. Box 71010, Wuhan 430071, People’s Republic of China cChinese Academy of Sciences and Graduate School, Chinese Academy of Sciences, Beijing 100049, People’s Republic of China |
| Abstract: | We study the existence of solutions for the nonlinear elliptic system where Ω is a bounded domain, f1 is superlinear and f2 is sublinear at zero and infinity, h1 and h2 are perturbation terms. We will show that the system has at least two semi-trivial solutions (u,0), (0,v) and a nontrivial solution (u*,v*). |
| Keywords: | Fixed point index Nonlinear elliptic system Pucci operator |
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