List questions from smooth-functions

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Is the restriction (to lower dimensions) of a smooth function still smooth?

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Understanding the proof of the Concentration-Compactness principle

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Does an integral inequality imply a pointwise inequality?

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A weird definition of regular function

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Are charts for smooth manifolds homeomorphisms or diffeomorphisms?

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Find a sequence $(\phi_n)_n \subset C^{\infty}_c(\mathbb{R}^N)$ which converges in both $L^p(\nu)$ and $L^q(\mu)$ to $1_E$

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Straight Lines are Strict Minimizers of Arclength in Euclidean Space

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Several Questions on Smooth Urysohn's Lemma

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86

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For what functions is $\lim_{n\to \infty}|f^{(n)}(x)|=0$? (Where $f^{(n)}(x)$ is the $n$th derivative of $f$)

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A Smooth Function with Peculiar Properties

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How to show a real valued function of several variables is analytic?

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Example of not quasi-regular mapping

Published on 17 Apr 2026 - 16:22

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How do I show that this set is dense in the function space?

Published on 18 Apr 2026 - 9:54

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Clarification on definition of smooth map between smooth manifolds

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List Question

Connecting smooth functions in a smooth way

Is the restriction (to lower dimensions) of a smooth function still smooth?

Understanding the proof of the Concentration-Compactness principle

Does an integral inequality imply a pointwise inequality?

A weird definition of regular function

Are charts for smooth manifolds homeomorphisms or diffeomorphisms?

Find a sequence $(\phi_n)_n \subset C^{\infty}_c(\mathbb{R}^N)$ which converges in both $L^p(\nu)$ and $L^q(\mu)$ to $1_E$

Straight Lines are Strict Minimizers of Arclength in Euclidean Space

Several Questions on Smooth Urysohn's Lemma

For what functions is $\lim_{n\to \infty}|f^{(n)}(x)|=0$? (Where $f^{(n)}(x)$ is the $n$th derivative of $f$)

A Smooth Function with Peculiar Properties

How to show a real valued function of several variables is analytic?

Example of not quasi-regular mapping

How do I show that this set is dense in the function space?

Clarification on definition of smooth map between smooth manifolds

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