Non-power type perturbation for the critical Hénon problem

作者：Zhongyuan Liu, Ziying Liu, Wenhuan Xu · 发表于：Journal of Mathematical Physics · 年份：2023 · DOI：10.1063/5.0106650 · 被引用次数：8 · 研究领域：Advanced Mathematical Modeling in Engineering、Nonlinear Partial Differential Equations、Geometric Analysis and Curvature Flows

In this paper, we study the critical Hénon problem with non-power type perturbation. We use the reduction argument to construct a family of bubbling solutions concentrating at the origin without any condition on the Robin function. It is well-known that the Robin function plays an essential role in the existence of bubbling solutions for critical elliptic problems.