论文标题
奇异的dirichlet $（p，q）$ - 方程
Singular Dirichlet $(p,q)$-equations
论文作者
论文摘要
我们考虑了由$（P，Q）$ -Laplacian驱动的非线性差异问题，并且具有单一项和参数$（P-1）$ - 超级线性扰动的综合效果的反应。我们证明了一个分叉型结果，将正面解决方案集的变化描述为参数$λ> 0 $变化。此外，我们证明存在最小的阳性解决方案$ u^*_λ$，并研究地图$λ\ to u^*_λ$的单调性和连续性属性。
We consider a nonlinear Dirichlet problem driven by the $(p,q)$-Laplacian and with a reaction having the combined effects of a singular term and of a parametric $(p-1)$-superlinear perturbation. We prove a bifurcation-type result describing the changes in the set of positive solutions as the parameter $λ>0$ varies. Moreover, we prove the existence of a minimal positive solution $u^*_λ$ and study the monotonicity and continuity properties of the map $λ\to u^*_λ$.
