In this paper, we investigate the existence of an S-shaped connected component in the set of positive solutions for a Minkowski-curvature Dirichlet problem with indefinite weight. By figuring the shape of unbounded continua of solutions, we show the existence and multiplicity of positive solutions with respect to the parameter \(\lambda \). In particular, we obtain the existence of at least three positive solutions for \(\lambda \) being in a certain interval.

中文翻译：

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权重不确定的Minkowski曲率Dirichlet问题正解的S形连通分量

在本文中，我们研究了不确定权重的Minkowski曲率Dirichlet问题正解集中S形连通分量的存在。通过计算解的无穷连续体的形状，我们证明了正解的存在性和相对于参数\（\ lambda \）的多重性。特别地，对于在一定间隔内的\（\ lambda \），我们获得了至少三个正解的存在。