Question

On Hessians of inverse vector functions

score 261 · Answer 1 · 2022-03-12 22:44:30

261

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On Hessians of inverse vector functions

Published on 12 Mar 2022 - 22:44

score 38 · Answer 2 · 2022-04-12 21:15:26

38

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Is this function composed of non-invertible functions invertible?

Published on 12 Apr 2022 - 21:15

score 109 · Answer 3 · 2022-04-13 14:23:53

109

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Function from $\mathbb{R}^n$ to $\mathbb{R}^n$ with below bounded Jacobian has global inverse

Published on 13 Apr 2022 - 14:23

score 107 · Answer 4 · 2022-04-16 16:01:19

107

Views

Solution of an ODE using Inverse Function Theorem

Published on 16 Apr 2022 - 16:01

score 227 · Answer 5 · 2022-04-27 20:13:48

227

Views

Preimage of a 0-measure set by $f:R^n\to R^m$ with $m<n$ and continuous Jacobian everywhere of rank $m$ has measure 0

Published on 27 Apr 2022 - 20:13

score 49 · Answer 6 · 2022-05-09 17:23:00

Let $f:\mathbb{R^2} \to \mathbb{R^2}$ whose derivative is nonsingular.let D denote the open unit ball $\{v:|v|<1\}$. show that $D \subset f(D)$

score 33 · Answer 7 · 2022-06-29 23:53:35

33

Views

An open, limited and connected set $C$ under the hipotesis of the theorem of inverse function with $f(\partial C)\cap C = \emptyset$

Published on 29 Jun 2022 - 23:53

score 38 · Answer 8 · 2026-03-27 14:51:33

38

Views

Does every diffeomorphism fulfill $\det DJ(a) \ne 0$ for all $a$?

Published on 27 Mar 2026 - 14:51

score 82 · Answer 9 · 2026-03-27 16:27:37

82

Views

Is there proof of the inverse function theorem via Moser's trick?

Published on 27 Mar 2026 - 16:27

score 99 · Answer 10 · 2022-08-05 12:42:09

99

Views

An exercise on computing the critical points on a manifold

Published on 05 Aug 2022 - 12:42

score 53 · Answer 11 · 2022-08-08 01:59:42

53

Views

Existence of coordinates on a neighborhood of a point using the Inverse/Implicit Function Theorems

Published on 08 Aug 2022 - 1:59

score 204 · Answer 12 · 2022-08-18 14:02:05

204

Views

Can Peano's existence theorem be proved by the implicit function theorem?

Published on 18 Aug 2022 - 14:02

score 105 · Answer 13 · 2022-08-26 05:53:47

105

Views

About the statement of Lemma 2-10 on p.35 in "Calculus on Manifolds" by Michael Spivak. Is $A$ open or closed?

Published on 26 Aug 2022 - 5:53

score 44 · Answer 14 · 2022-08-27 04:28:55

44

Views

Understanding Lemma 2.1, p-19 of Munkres’ Topology 2E.

Published on 27 Aug 2022 - 4:28

score 301 · Answer 15 · 2022-09-03 13:53:36

301

Views

What exactly is a critical point, and what is the relevance of the rank of the Jacobian?

Published on 03 Sep 2022 - 13:53

List Question

On Hessians of inverse vector functions

Is this function composed of non-invertible functions invertible?

Function from $\mathbb{R}^n$ to $\mathbb{R}^n$ with below bounded Jacobian has global inverse

Solution of an ODE using Inverse Function Theorem

Preimage of a 0-measure set by $f:R^n\to R^m$ with $m<n$ and continuous Jacobian everywhere of rank $m$ has measure 0

Let $f:\mathbb{R^2} \to \mathbb{R^2}$ whose derivative is nonsingular.let D denote the open unit ball $\{v:|v|<1\}$. show that $D \subset f(D)$

An open, limited and connected set $C$ under the hipotesis of the theorem of inverse function with $f(\partial C)\cap C = \emptyset$

Does every diffeomorphism fulfill $\det DJ(a) \ne 0$ for all $a$?

Is there proof of the inverse function theorem via Moser's trick?

An exercise on computing the critical points on a manifold

Existence of coordinates on a neighborhood of a point using the Inverse/Implicit Function Theorems

Can Peano's existence theorem be proved by the implicit function theorem?

About the statement of Lemma 2-10 on p.35 in "Calculus on Manifolds" by Michael Spivak. Is $A$ open or closed?

Understanding Lemma 2.1, p-19 of Munkres’ Topology 2E.

What exactly is a critical point, and what is the relevance of the rank of the Jacobian?

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