Abstract In this paper, the existence of smooth positive solutions to a Robin boundary-value problem with non-homogeneous differential operator and reaction given by a nonlinear convection term plus a singular one is established. Proofs chiefly exploit sub-super-solution and truncation techniques, set-valued analysis, recursive methods, nonlinear regularity theory, as well as fixed point arguments. A uniqueness result is also presented.

中文翻译：

---

关于对流项的奇异罗宾问题

摘要 本文建立了具有非线性对流项加奇异项的非齐次微分算子和反应的Robin边值问题的光滑正解的存在性。证明主要利用子超解和截断技术、集值分析、递归方法、非线性正则理论以及不动点论证。还提供了唯一性结果。