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