We consider a nonlinear Robin problem driven by the ( p , q )-Laplacian and a parametric reaction exhibiting the competition of a concave term and of a resonant perturbation. We prove a bifurcation-type theorem describing the changes in the set of positive solutions as the parameter λ moves on ℝ̊ + = (0, +∞). Also, we determine the continuity properties of the solution multifunction.

中文翻译：

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关于共振Robin（p，q）方程的正解集

我们考虑了由（p，q）-Laplacian驱动的非线性Robin问题和表现出凹项竞争和共振扰动的参数反应。我们证明了一个分叉型定理，该定理描述了随着参数λ在φ̊+ =（0，+∞）上移动时正解集的变化。此外，我们确定解决方案多功能的连续性。