论文标题
罗宾双相问题与奇异和超级线性术语
Robin double-phase problems with singular and superlinear terms
论文作者
论文摘要
我们认为由$ p $ -laplacian和$ q $ -laplacian（即$（p，q）$ - 方程）的总和驱动的非线性罗宾问题。在反应中，奇异术语和参数扰动$λf（z，x）$的竞争效果，该$carathéodory和$（p-1）$ - $ x \ in \ mathbb {r} $ in \ mathbb {r}，$ in \ mathbb {r} $，不满足Ambrosetti-Rabinowitz条件。使用变分工具，再加上截断和比较技术，我们证明了分叉型结果，将正面解决方案集的变化描述为参数$λ> 0 $的变化。
We consider a nonlinear Robin problem driven by the sum of $p$-Laplacian and $q$-Laplacian (i.e. the $(p,q)$-equation). In the reaction there are competing effects of a singular term and a parametric perturbation $λf(z,x)$, which is Carathéodory and $(p-1)$-superlinear at $x\in\mathbb{R},$ without satisfying the Ambrosetti-Rabinowitz condition. Using variational tools, together with truncation and comparison techniques, we prove a bifurcation-type result describing the changes in the set of positive solutions as the parameter $λ>0$ varies.
