论文标题
在一类奇异各向异性$(p,q)$ - 方程式上
On a class of singular anisotropic $(p,q)$-equations
论文作者
论文摘要
我们考虑了由各向异性$(p,q)$ - 拉普拉斯式驱动的一个差异问题,并具有具有奇异术语和参数超级线性扰动的竞争作用的反应。基于变异工具以及截断和比较技术,我们证明了分叉型结果,该结果描述了随着参数的变化,阳性解决方案集的变化。
We consider a Dirichlet problem driven by the anisotropic $(p,q)$-Laplacian and with a reaction that has the competing effects of a singular term and of a parametric superlinear perturbation. Based on variational tools along with truncation and comparison techniques, we prove a bifurcation-type result describing the changes in the set of positive solutions as the parameter varies.