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Extremals for singular Onofri type inequality in weighted Sobolev spaces

Borgia, Natalino et al.
arXiv (All) · Papers
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26d1035j9246e3046e35analysis-of-pdes
The $N$-dimensional Euclidean Onofri inequality was proved by Del Pino and Dolbeault for smooth compactly supported functions in $\mathbb{R}^N$ with $N \ge 2$. In this paper, we consider the singular version introduced by Lam and Lu, and extend it to a natural weighted Sobolev space. Next, we establ
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