List questions from analysis

Published on 14 Apr 2026 - 21:34

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How can we conclude that $q$ is indefinite?

Published on 14 Apr 2026 - 20:37

134

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Prove $\int_{\mathbb{R}^N}u^a\nabla u\cdot\nabla\Delta u=C(\int_{\mathbb{R}^N}|D^2 (u^{(a+2)/2})|^2+\int_{\mathbb{R}^N}|\nabla(u^{(a+2)/4})|^4)$

Published on 16 Apr 2026 - 5:30

267

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inequality related to roots of $(x-1)\log(x)=m$

Published on 16 Apr 2026 - 22:21

454

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Sum of total variation over countable partition of interval equals variation over interval?

Published on 16 Apr 2026 - 10:57

680

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Compactness of set of Lipschitz functions $f:D\rightarrow D$

Published on 15 Apr 2026 - 18:09

150

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$L^2$ norm on a product space $]0,1[\times \Omega$

Published on 12 Apr 2026 - 16:09

44

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Construct a disproving example to the statement

Published on 14 Apr 2026 - 7:12

744

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Alternative way of proving a level set is closed if the function is continuous

Published on 09 Apr 2026 - 20:57

86

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why there is the factor $n$ in the RHS of the Cauchy-Schwartz inequality for matrices?

Published on 16 Apr 2026 - 4:04

37

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measurability of function that differs from continuous function

Published on 10 Apr 2026 - 16:40

64

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How can the injectivity of $f$ imply that $b$ is not in the image of the boundary of $Q$?

Published on 12 Apr 2026 - 5:55

275

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Lipschitz constant of limit of functions

Published on 10 Apr 2026 - 11:41

907

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integral of monotonic increasing function

Published on 10 Apr 2026 - 0:29

346

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Nonlinear Ordinary Differential Equations

Published on 11 Apr 2026 - 6:52

List Question

Calculate the second derivative of this rational function

How can we conclude that $q$ is indefinite?

Prove $\int_{\mathbb{R}^N}u^a\nabla u\cdot\nabla\Delta u=C(\int_{\mathbb{R}^N}|D^2 (u^{(a+2)/2})|^2+\int_{\mathbb{R}^N}|\nabla(u^{(a+2)/4})|^4)$

inequality related to roots of $(x-1)\log(x)=m$

Sum of total variation over countable partition of interval equals variation over interval?

Compactness of set of Lipschitz functions $f:D\rightarrow D$

$L^2$ norm on a product space $]0,1[\times \Omega$

Construct a disproving example to the statement

Alternative way of proving a level set is closed if the function is continuous

why there is the factor $n$ in the RHS of the Cauchy-Schwartz inequality for matrices?

measurability of function that differs from continuous function

How can the injectivity of $f$ imply that $b$ is not in the image of the boundary of $Q$?

Lipschitz constant of limit of functions

integral of monotonic increasing function

Nonlinear Ordinary Differential Equations

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