Positive and negative solutions of a class of nonlocal problems |
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| Authors: | Yang Yang Jihui Zhang |
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| Affiliation: | a Institute of Mathematics, School of Mathematical Science, Nanjing Normal University, Nanjing, 210097, People’s Republic of China
b School of Science, Jiangnan University, Wuxi, 214122, People’s Republic of China |
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| Abstract: | The existence of nontrivial solutions of Kirchhoff type equations is an important nonlocal quasilinear problem. In this paper, still by using the invariant sets of descent flow, we obtain positive and negative solutions of a class of nonlocal quasilinear elliptic boundary value problems as follows: |
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| Keywords: | Nonlocal problems Kirchhoff&rsquo s equation The invariant sets of descent flow |
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