Existence and multiplicity results for infinitely many solutions for Kirchhoff‐type problems in |
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| Authors: | Peng Chen XH Tang |
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| Institution: | 1. College of Science, China Three Gorges University, , Yichang, Hubei 443002, China;2. School of Mathematics and Statistics, Central South University, , Changsha, Hunan 410083, China |
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| Abstract: | In this paper, we deal with existence and multiplicity of solutions of Kirchhoff‐type problems ![urn:x-wiley:1704214:media:mma2938:mma2938-math-0001]( "urn:x-wiley:1704214:media:mma2938:mma2938-math-0001") Under more relaxed assumptions on f, we establish some existence criteria to guarantee that the preceding problem has at least one or infinitely many nontrivial solutions by using the genus properties in critical point theory. Copyright © 2013 John Wiley & Sons, Ltd. |
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| Keywords: | Kirchhoff‐type problems sublinear genus critical point theory |
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