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Existence results for a nonlinear system with a parameter
Authors:Yang Yang  Jihui Zhang
Institution:a Institute of Mathematics, School of Mathematics and Computer Sciences, Nanjing Normal University, Nanjing, People's Republic of China
b School of Science, Jiangnan University, Wuxi, People's Republic of China
Abstract:In this paper, the monotone operator principle, the critical point theory and the morse theory are employed to discuss the system of nonlinear equations of the form Au=λf(u), some existence results are obtained.
Keywords:Nonlinear system  Critical point theory  Morse theory  Local linking
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