Lower bounds for generalized eigenvalues of the quasilinear systems |
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| Authors: | X.H. Tang Xiaofei He |
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| Affiliation: | 1. School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410083, PR China;2. College of Mathematics and Computer Science, Jishou University, Jishou 416000, Hunan, PR China |
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| Abstract: | In this paper, we establish several new Lyapunov-type inequalities for two classes of one-dimensional quasilinear elliptic systems of resonant type, which generalize or improve all related existing ones. Then we use the Lyapunov-type inequalities obtained in this paper to derive a better lower bound for the generalized eigenvalues of the one-dimensional quasilinear elliptic system with the Dirichlet boundary conditions. |
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