User Raoní Cabral Ponciano

3 votes

0 answers

83 views

In compact embedding Theorem, $u_0$ lies in $W^{1,p}(\Omega)$?

asked Jul 21, 2018 at 19:38

3 votes

0 answers

73 views

Compact embedding $H^1_{0,rad}(B(0,1),|\log(1/|x|)|)$ in $L^1(B(0,1))$

asked Jul 30, 2021 at 19:57

3 votes

1 answer

56 views

What is the Euclidean norm of the vector containing all $k$-order partial derivatives of $|x|$?

asked May 16 at 22:36

2 votes

1 answer

67 views

Equivalence of Sobolev spaces Definitions on Riemannian manifold via $k$-Covariant Derivative and $k$-Gradient Derivative

asked Jun 26 at 15:10

2 votes

1 answer

117 views

Taylor expansion of $e^t$ starting with $N\geq0$ real number

asked Mar 3, 2022 at 1:26

2 votes

1 answer

71 views

Holder continuity of the derivate of $|x|^\alpha$ for $\alpha>1$

asked Nov 19, 2018 at 21:12

1 vote

1 answer

153 views

Exercise 2 of chapter IX of Do Carmo's Riemannian Geometry

asked Dec 5, 2019 at 16:59

1 vote

2 answers

93 views

Is the $k$th covariant derivative of a function $f\colon M\to\mathbb R$ symmetric?

asked May 16 at 15:05

1 vote

0 answers

615 views

Radial Lemma for Sobolev Spaces

asked Apr 12, 2018 at 19:49

1 vote

1 answer

67 views

If $(m-1)p\geq n$, $u(x)=|x|$ does not belong to $W^{m,p}(B(0,1))$.

asked Apr 23, 2018 at 13:57

1 vote

0 answers

54 views

$-\Delta u>0$ if and only if $u>0$ in this pde

asked Apr 28, 2018 at 12:02

0 votes

0 answers

515 views

How to use Kato's inequality

asked Apr 11, 2020 at 11:23

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12 Questions

In compact embedding Theorem, $u_0$ lies in $W^{1,p}(\Omega)$?

Compact embedding $H^1_{0,rad}(B(0,1),|\log(1/|x|)|)$ in $L^1(B(0,1))$

What is the Euclidean norm of the vector containing all $k$-order partial derivatives of $|x|$?

Equivalence of Sobolev spaces Definitions on Riemannian manifold via $k$-Covariant Derivative and $k$-Gradient Derivative

Taylor expansion of $e^t$ starting with $N\geq0$ real number

Holder continuity of the derivate of $|x|^\alpha$ for $\alpha>1$

Exercise 2 of chapter IX of Do Carmo's Riemannian Geometry

Is the $k$th covariant derivative of a function $f\colon M\to\mathbb R$ symmetric?

Radial Lemma for Sobolev Spaces

If $(m-1)p\geq n$, $u(x)=|x|$ does not belong to $W^{m,p}(B(0,1))$.

$-\Delta u>0$ if and only if $u>0$ in this pde

How to use Kato's inequality