Multiple equilibrium points in global attractors for some p-Laplacian equations |
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Authors: | Fang Li Chengkui Zhong |
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Institution: | 1. School of Mathematics and Statistics, Xidian University , Xi’an, P.R. China.;2. Department of Mathematics, Nanjing University , Nanjing, P.R. China. |
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Abstract: | In this paper, we continue to study the properties of the global attractor for some p-Laplacian equations with a Lyapunov function F in a Banach space when the origin is no longer a local minimum point but a saddle point of F. By using the abstract result established in our previous work, we prove the existence of multiple equilibrium points in the global attractor for some p-Laplacian equations under some suitable assumptions in the case that the origin is an unstable equilibrium point. |
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