Question

$-\nabla \cdot (A\nabla u)=f$ has a weak solution in $H^1$ $\iff$ $\int_\Omega f+\int_{\partial \Omega }g=0$.

score 396 · Answer 1 · 2026-04-11 16:07:08

396

Views

$-\nabla \cdot (A\nabla u)=f$ has a weak solution in $H^1$ $\iff$ $\int_\Omega f+\int_{\partial \Omega }g=0$.

Published on 11 Apr 2026 - 16:07

score 261 · Answer 2 · 2026-04-09 01:59:27

261

Views

Continuity axioms and completness axioms for real numbers are the same things?

Published on 09 Apr 2026 - 1:59

score 65 · Answer 3 · 2026-04-06 04:09:47

65

Views

A function $p \in C^2\big([0,R),\mathbb{R}\big)$ satisfies $p(x) ≥ \alpha$ and $(1 + \beta)[p'(x)]^2\leq p''(x)p(x).$

Published on 06 Apr 2026 - 4:09

score 55 · Answer 4 · 2026-03-24 23:42:45

55

Views

Verify asymptotics as $n\to\infty$

Published on 24 Mar 2026 - 23:42

score 37 · Answer 5 · 2026-04-06 23:52:50

37

Views

Sparse sets $S$ of integers such that $\frac{1}{x^2}\sum_{s\in S, s\le x}s\to 0$

Published on 06 Apr 2026 - 23:52

score 39 · Answer 6 · 2018-01-21 15:37:00

39

Views

Calculating a derivative of a map $\mathbb R^n\rightarrow \mathbb R^n$

Published on 21 Jan 2018 - 15:37

score 70 · Answer 7 · 2026-04-08 22:41:26

70

Views

Map a closed function $f: (1,4) \rightarrow (1,4)$ without fixed point

Published on 08 Apr 2026 - 22:41

score 139 · Answer 8 · 2026-04-11 18:29:26

139

Views

Continuous functions whose Riemann sums are zero

Published on 11 Apr 2026 - 18:29

score 54 · Answer 9 · 2026-04-06 10:05:11

54

Views

Riesz potential $I_{\alpha}\phi\notin L^2$ if $\frac{n}{2}<\alpha<n,$

Published on 06 Apr 2026 - 10:05

score 61 · Answer 10 · 2026-03-25 01:20:41

61

Views

Trying to calculate the series $\sum_{n=0}^{\infty}{{-1}\choose n}z^n$

Published on 25 Mar 2026 - 1:20

score 84 · Answer 11 · 2026-04-10 17:13:22

84

Views

Mean-Value Theorem for set

Published on 10 Apr 2026 - 17:13

score 98 · Answer 12 · 2026-04-11 19:21:33

98

Views

Are those two subsets of $\mathcal{C}^0([0,1],\mathbb{R})$ equal?

Published on 11 Apr 2026 - 19:21

score 124 · Answer 13 · 2026-04-10 14:25:10

124

Views

A question related to Kolmogorov's $0$-$1$ law

Published on 10 Apr 2026 - 14:25

score 176 · Answer 14 · 2026-04-12 02:19:10

176

Views

Estimating the limit $x_{n+1} =x_n - x_{n}^{n+1} $

Published on 12 Apr 2026 - 2:19

score 254 · Answer 15 · 2026-04-09 07:21:34

254

Views

$H^{\frac12}$ norm and preimage via the trace operator

Published on 09 Apr 2026 - 7:21

List Question

$-\nabla \cdot (A\nabla u)=f$ has a weak solution in $H^1$ $\iff$ $\int_\Omega f+\int_{\partial \Omega }g=0$.

Continuity axioms and completness axioms for real numbers are the same things?

A function $p \in C^2\big([0,R),\mathbb{R}\big)$ satisfies $p(x) ≥ \alpha$ and $(1 + \beta)[p'(x)]^2\leq p''(x)p(x).$

Verify asymptotics as $n\to\infty$

Sparse sets $S$ of integers such that $\frac{1}{x^2}\sum_{s\in S, s\le x}s\to 0$

Calculating a derivative of a map $\mathbb R^n\rightarrow \mathbb R^n$

Map a closed function $f: (1,4) \rightarrow (1,4)$ without fixed point

Continuous functions whose Riemann sums are zero

Riesz potential $I_{\alpha}\phi\notin L^2$ if $\frac{n}{2}<\alpha<n,$

Trying to calculate the series $\sum_{n=0}^{\infty}{{-1}\choose n}z^n$

Mean-Value Theorem for set

Are those two subsets of $\mathcal{C}^0([0,1],\mathbb{R})$ equal?

A question related to Kolmogorov's $0$-$1$ law

Estimating the limit $x_{n+1} =x_n - x_{n}^{n+1} $

$H^{\frac12}$ norm and preimage via the trace operator

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