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75064
  • Member for 9 years, 3 months
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16 votes
Accepted

Prove that to each $\epsilon >0$, there exists a $\delta >0$ so that the Lebesgue integral...

15 votes
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what is the relation of smooth compact supported funtions and real analytic function?

13 votes

Application of Liouville's Theorem

11 votes
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Characterization of Harmonic Functions on the Punctured Disk

10 votes
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Equivalent norms and isometries

9 votes
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Differential Equation and Picard Iteration

8 votes
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Incomplete vector field

8 votes

Why isometric isomorphic between Banach spaces means we can identify them?

8 votes
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Is $C^{k,\alpha}(\mathbb R^n)$ reflexive?

7 votes
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Oscillation and Hölder continuity

6 votes
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About Lusin's condition (N)

6 votes
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In my Fourier text book, there are the following exercises to prove. why do some of them have the same left side but have different right sides?

6 votes
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A criterion for independence based on Characteristic function

6 votes
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$\phi$ has compact support in $\mathbb{R}^n$ does not imply $\phi (\xi + \eta)$ has compact support in $\mathbb{R}^n\times\mathbb{R}^n$

5 votes
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Complete non-vanishing vector field

5 votes

How to prove that $(u-v)^+\in W_0^{1,2}(\Omega)$, if $u\in W_0^{1,2}(\Omega)$, $v\geq 0$.

5 votes
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Differential of smooth function on manifold

5 votes
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Show that this is a diffeomorphism

5 votes

Is $z\cdot\sin(z)$ (function from $\mathbb{C} \to \mathbb{C}$) surjective?

5 votes
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$C_c^0(\Omega)$ is not Banach!?! Also density requires completeness?

5 votes

Making a cube root function analytic on $\mathbb{C}\backslash [1,3]$

4 votes
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Differentiating a boundary condition at infinity

4 votes
Accepted

Euler's method for second order differential equation

4 votes
Accepted

Homogenous measure on the positive real halfline

4 votes

Proving homeomorphism between surface and $\mathbb{R}^2$ minus Cantor Set

4 votes
Accepted

measure of the image of the the unit open disc by a holomorphic map

4 votes
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Are Trigonometric Functions Dense in $C^k(S^1)?$

4 votes

How to make a $C^1$ knot into a $C^\infty$ knot

4 votes
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Distributional traces

3 votes

Example of a Function with Infinitely Many zeros in the disc

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