Acta mathematica scientia,Series A ›› 2016, Vol. 36 ›› Issue (1): 1-13.

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Exact Number of Solutions of a One-Dimensional Prescribed Mean Curvature Equation with General Nonlinearities

Wei Dongyi   

  1. School of Mathematical Sciences and BICMR, Peking University, Beijing 100871
  • Received:2015-08-30 Revised:2015-12-16 Online:2016-02-25 Published:2016-02-25
  • Supported by:

    Supported by Shandong Provincial Nature Science Foundation (ZR2013AM009)

Abstract:

In this paper, an exact number of solutions is obtained for the one-dimensional prescribed mean curvature equation with general nonlinearities (including singular nonlinearities) by means of a detailed analysis of time-map method.

Key words: Exact number of solutions, Prescribed mean curvature equation, Time-map analysis, General nonlinearities

CLC Number: 

  • O175.8
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