We consider a nonlinear Dirichlet problem driven by the (p, q)-Laplacian and with a reaction which is parametric and exhibits the combined effects of a singular term and of a superdiffusive one. We prove an existence and nonexistence result for positive solutions depending on the value of the parameter \(\lambda \in \overset{\circ }{{\mathbb {R}}}_+=(0,+\infty )\).

中文翻译：

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具有超扩散扰动的奇异 (p, q)-方程正解的存在与不存在

我们考虑由 ( p ,  q )-拉普拉斯算子驱动的非线性狄利克雷问题，其反应是参数化的，表现出奇异项和超扩散项的组合效应。我们证明了正解的存在和不存在结果取决于参数\(\lambda \in \overset{\circ }{{\mathbb {R}}}_+=(0,+\infty )\) .