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Four versus two solutions of semilinear elliptic boundary value problems

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Calculus of Variations and Partial Differential Equations Aims and scope Submit manuscript

Abstract.

This paper concerns the existence of four (or six) solutions of semilinear elliptic boundary value problems provided that two disorderly solutions are known. The results are obtained under very generic conditions.

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Authors and Affiliations

  1. Department of Mathematics, Shandong University, Jinan, Shandong 250100, People's Republic of China (e-mail: zliu@sdu.edu.cn, jxsun@sdu.edu.cn) , , , , , , CN

    Zhaoli Liu & Jingxian Sun

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  1. Zhaoli Liu
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  2. Jingxian Sun
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Received: 26 August 2000 / Accepted: 23 February 2001 / Published online: 23 July 2001

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Liu, Z., Sun, J. Four versus two solutions of semilinear elliptic boundary value problems. Calc Var 14, 319–327 (2002). https://doi.org/10.1007/s005260100104

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  • DOI: https://doi.org/10.1007/s005260100104

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