Abstract
In this paper, we study a class of p-Laplace equations. Using variational methods, we prove that there are two solutions and one of these solutions is nonnegative. Using recurrence method, we prove that there are infinitely many solutions to this class of equations.
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We would like to thank the referees very much for their valuable suggestions.
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This research is supported by Hunan Provincial Natural Science Foundation of China (14JJ2120), and partly supported by Application-oriented Special Disciplines, Double First-Class University Project of Hunan Province (Xiangjiaotong[2018]469), Hunan provincial key laboratory of intelligent information processing and application (2016TP1020).
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Deng, YH. Infinitely Many Solutions to a Class of p-Laplace Equations. Acta Math. Appl. Sin. Engl. Ser. 35, 770–779 (2019). https://doi.org/10.1007/s10255-019-0851-5
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DOI: https://doi.org/10.1007/s10255-019-0851-5