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Results tagged with sobolev-spaces
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user 121820
A Sobolev space is a vector space of functions equipped with a norm that is a combination of Lp-norms of the function itself and its derivatives up to a given order.
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How to calculate the infimum of Yamabe functional on upper hemisphere
The first observation is that $Q_g(\phi)$ is conformally invariant.
Define
\begin{align*}
L_gu & := -\Delta u + \frac{n-2}{4(n-1)}Ru , \\
B_gu & := \partial_\nu u + \frac{n-2}{2}Hu ,
\end{align*}
wh …
- 1,713