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$\int\limits_{\Omega}{uvdx}<\infty,\forall v\in H_0^1(\Omega)$ implies $u\in L^{6/5}(\Omega)$

pde lebesgue-integral sobolev-spaces lp-spaces asked Jan 1, 2016 at 15:24

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$\int\limits_{\Omega}{uvdx}<\infty,\forall v\in H_0^1(\Omega)$ implies $u\in L^{6/5}(\Omega)$

fa.functional-analysis ap.analysis-of-pdes sobolev-spaces elliptic-pde asked Jan 7, 2016 at 16:56

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Pointwise almost everywhere convergent subsequence of $\{\sin (nx)\}$

real-analysis sequences-and-series lebesgue-measure lp-spaces asked Jul 31, 2015 at 14:33

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Top Answers

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A continuous function with positive and negative values but never zero?

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Weak convergence in sobolev space

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Let $f:\mathbb{R}\rightarrow\mathbb{R}$ be a function such that $f'(x)$ is continuous and $|f'(x)|\le|f(x)|$ for all $x\in\mathbb{R}$

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Compact operator in Hilbert spaces reach the maximum in the sphere.

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Inequalities with floor function

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