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How do i show that $u(r,\theta) = r^\lambda sin(\lambda \theta)$ belongs to $H^{1+\lambda}(\Omega),$ with $\lambda \in (0,1)$ for $\Omega \subset \mathbb{R}^2$?

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  • $\begingroup$ $\Omega$ is probably an open set containing the origin. $\endgroup$ – Giuseppe Negro Apr 27 '17 at 21:16
  • $\begingroup$ @GiuseppeNegro yes. $\endgroup$ – uli.xu Apr 27 '17 at 22:04

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