Mathematics |
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| Authors: | LI Yongqing LIU Zhaoli |
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| Institution: | 1. Department of Mathematics, Fujian Normal University,
2. Department of Mathematics, Shandong University, |
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| Abstract: | We prove the existence of sign changing solutions of a semilinear elliptic eigenvalue problem with constraint by using variational methods. Among those three solutions we obtained, one is positive, one negative and one sign changing. We also prove the existence of multiple sign changing solutions under some additional condition. |
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