Multiple non semi‐trivial solutions of systems of Kirchhoff‐type equations with discontinuous nonlinearities in RN |
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Authors: | Xian Wu Kaimin Teng |
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Institution: | 1. Department of Mathematics, Yunnan Normal University, Kunming, Yunnan, China;2. Department of Mathematics, TaiyuanUniversity of Technology, Taiyuan, Shanxi, China |
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Abstract: | In the present paper, we study the problem of multiple non semi‐trivial solutions for the following systems of Kirchhoff‐type equations with discontinuous nonlinearities (1.1) where F∈C1(RN×R+×R+,R),V∈C(RN,R), and By establishing a new index theory, we obtain some multiple critical point theorems on product spaces, and as applications, three multiplicity results of non semi‐trivial solutions for (1.1) are obtained. Copyright © 2015 John Wiley & Sons, Ltd. |
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Keywords: | critical point Kirchhoff‐type equations Sobolev's embedding Palais– Smale condition Cerami condition |
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