Affiliation:
1. School of Mathematics and Statistics, Henan University , Kaifeng 475004, China
Abstract
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.
Funder
National Natural Science Foundation of China
Subject
Mathematical Physics,Statistical and Nonlinear Physics
Reference32 articles.
1. On a variational problem with lack of compactness: The topological effect of the critical points at infinity;Calculus Var. Partial Differ. Equations,1995
2. Ben Ayed, M., Fourti, H., and Ghoudi, R., “Multispike solutions for a slightly subcritical elliptic problem with non-power nonlinearity,” Discrete Contin. Dyn. Syst. 43, 661–687 (2023).
3. On the Hénon equation: Asymptotic profile of ground states. I;Ann. Inst. Henri Poincare C,2006
4. On the Hénon equation: Asymptotic profile of ground states. II;J. Differ. Equations,2005
5. Asymptotic symmetry and local behavior of semilinear elliptic equations with critical Sobolev growth;Commun. Pure Appl. Math.,1989
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献