Multiple and sign changing solutions of an elliptic eigenvalue problem with constraint |
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| Authors: | Yongqing Li and Zhaoli Liu |
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| Institution: | (1) Department of Mathematics, Fujian Normal University, 350007 Fuzhou, China;(2) Department of Mathematics, Shandong University, 250100 Jinan, China |
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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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| Keywords: | multiple solutions sign changing solution critical point theory elliptic eigenvalue problem |
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