Question

Sum of two subharmonic functions is subharmonic.

score 52 · Answer 1 · 2024-02-24 15:38:58

52

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Sum of two subharmonic functions is subharmonic.

Published on 24 Feb 2024 - 15:38

score 33 · Answer 2 · 2024-02-24 23:08:46

33

Views

convex lower semi-continuous function defined on Banach space

Published on 24 Feb 2024 - 23:08

score 76 · Answer 3 · 2024-03-11 15:38:50

76

Views

Property of lower semicontinuous functions

Published on 11 Mar 2024 - 15:38

score 57 · Answer 4 · 2024-03-26 07:37:54

57

Views

Restriction of global sections to the fiber without semicontinuity

Published on 26 Mar 2024 - 7:37

score 231 · Answer 5 · 2015-01-14 19:23:25

231

Views

Is $x\mapsto \|Tx\|$ lower semi-continuous?

Published on 14 Jan 2015 - 19:23

score 4.8k · Answer 6 · 2015-03-09 20:24:11

4.8k

Views

What is the intuition for semi-continuous functions?

Published on 09 Mar 2015 - 20:24

score 2.1k · Answer 7 · 2015-05-13 04:02:46

2.1k

Views

Show that lower semicontinuous function is the supremum of an increasing sequence of continuous functions

Published on 13 May 2015 - 4:02

score 148 · Answer 8 · 2015-07-22 14:38:51

148

Views

Can a function be both lower (but not upper) semicontinuous and convex?

Published on 22 Jul 2015 - 14:38

score 2.3k · Answer 9 · 2015-11-21 04:28:35

2.3k

Views

Composition of lower semicontinuous function with continuous function is lower semicontinuous

Published on 21 Nov 2015 - 4:28

score 6.9k · Answer 10 · 2016-02-19 10:13:26

6.9k

Views

To show that the supremum of any collection of lower semicontinuous functions is lower semicontinuous

Published on 19 Feb 2016 - 10:13

score 2.7k · Answer 11 · 2016-03-15 10:52:11

2.7k

Views

Maximum of a upper semicontinuous function

Published on 15 Mar 2016 - 10:52

score 1.6k · Answer 12 · 2016-05-20 16:35:46

1.6k

Views

Lower semicontinuity of length of graph: $L(g)\le\liminf_{n\to\infty}L(f_n)$

Published on 20 May 2016 - 16:35

score 45 · Answer 13 · 2016-06-05 14:07:16

45

Views

For a lower semi-continuous function $f: \mathbb R^n\to \mathbb R$, show $\{z\in \mathbb R^n : f(z)> r\}$ is open for $r \in \mathbb R$

Published on 05 Jun 2016 - 14:07

score 437 · Answer 14 · 2016-06-21 14:36:32

437

Views

Is the Lebesgue measure zero for the discontinuous set of a semicontinuous function?

Published on 21 Jun 2016 - 14:36

score 145 · Answer 15 · 2013-04-26 04:28:17

145

Views

How to show that this functional $J(y) = \int_{a}^{b} \sqrt{1 + y'(x)^2} dx$ is lower semicontinuous?

Published on 26 Apr 2013 - 4:28

List Question

Sum of two subharmonic functions is subharmonic.

convex lower semi-continuous function defined on Banach space

Property of lower semicontinuous functions

Restriction of global sections to the fiber without semicontinuity

Is $x\mapsto \|Tx\|$ lower semi-continuous?

What is the intuition for semi-continuous functions?

Show that lower semicontinuous function is the supremum of an increasing sequence of continuous functions

Can a function be both lower (but not upper) semicontinuous and convex?

Composition of lower semicontinuous function with continuous function is lower semicontinuous

To show that the supremum of any collection of lower semicontinuous functions is lower semicontinuous

Maximum of a upper semicontinuous function

Lower semicontinuity of length of graph: $L(g)\le\liminf_{n\to\infty}L(f_n)$

For a lower semi-continuous function $f: \mathbb R^n\to \mathbb R$, show $\{z\in \mathbb R^n : f(z)> r\}$ is open for $r \in \mathbb R$

Is the Lebesgue measure zero for the discontinuous set of a semicontinuous function?

How to show that this functional $J(y) = \int_{a}^{b} \sqrt{1 + y'(x)^2} dx$ is lower semicontinuous?

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