| Abstract: |
| We consider a minimization problem on the Hardy-Sobolev inequality.
Concerning this problem, position of singularity on bounded domain plays a crucial role.
In this talk, we consider interior singularity case.
In this case, we can see that existence and nonexistence of a minimizer depend on scale of domain.
In addition to existence and nonexistence results, we prove uniqueness result and symmetry property of minimizer when domain is an unit ball. |
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