We establish uniqueness results for quasilinear elliptic problems through the criterion recently provided in Bonheure et al. (Trans Amer Math Soc 370(10):7081–7127, 2018). We apply it to generalized p -Laplacian subhomogeneous problems that may admit multiple nontrivial nonnegative solutions. Based on a generalized hidden convexity result, we show that uniqueness holds among strongly positive solutions and nonnegative global minimizers. Problems involving nonhomogeneous operators as the so-called ( p , r )-Laplacian are also treated.

中文翻译：

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一些唯一性导致拟线性次齐次问题

我们通过 Bonheure 等人最近提供的标准为拟线性椭圆问题建立唯一性结果。(Trans Amer Math Soc 370(10):7081–7127, 2018)。我们将它应用到广义的 p-Laplacian 次齐次问题，这些问题可能允许多个非平凡的非负解。基于广义的隐藏凸性结果，我们表明唯一性在强正解和非负全局极小值之间成立。还处理了涉及非齐次算子的问题，即所谓的 ( p , r )-Laplacian。