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<p>In this paper, we investigate the Calabi-Bernstein type asymptotic property of one-sign solutions for one-dimensional Minkowski-curvature equations. In particular, we show that solutions on two certain bifurcation branches converge to two piecewise linear functions. The proof of our main results is based upon the global bifurcation theory and the Sturm separation theorem.</p>

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Asymptotic Property of Solutions for one-dimensional Minkowski-curvature Equations

  • 期刊论文

  • 发表日期：

    2026年1月22日

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  • Ruyun Ma,
  • Xuanrong Shi,
  • Jingxuan Wang

摘要

In this paper, we investigate the Calabi-Bernstein type asymptotic property of one-sign solutions for one-dimensional Minkowski-curvature equations. In particular, we show that solutions on two certain bifurcation branches converge to two piecewise linear functions. The proof of our main results is based upon the global bifurcation theory and the Sturm separation theorem.