List questions from elliptic-equations

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Bootstrap argument in De Giorgi's regularity theorem for elliptic PDEs

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437

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Second Existence theorem for Weak Solution in Evans

Published on 18 Apr 2020 - 1:11

117

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Invariant interval for ODE implies invariant interval for parabolic PDE

Published on 25 Mar 2026 - 23:44

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A continuous function for which Poisson's equation has no C^2 solutions

Published on 26 Mar 2026 - 1:01

63

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Elliptic curve in finite field, which solution to choose?

Published on 21 Apr 2020 - 1:00

34

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Why is this function a local minimum of this integral functional? (related to elliptic PDEs)

Published on 21 Apr 2020 - 16:24

23

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Why holder space is more appropriate than $C^2(\Omega)$ for elliptic equation

Published on 25 Apr 2020 - 0:51

139

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Find a weak solution of $- \Delta u + u = h(x) |u|^{q - 2}u$ in $\Bbb{R}^N$, $u \in H^1 (\Bbb{R}^N)$ - Is my reasoning correct?

Published on 01 May 2020 - 21:29

137

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Bootstrapping For Elliptic Operators in Holder Space

Published on 02 May 2020 - 15:03

79

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$\Delta u = u$ implies $u$ infinitely differentiable, without Sobolev techniques

Published on 03 May 2020 - 14:49

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Weak maximum principle for eliptic PDEs proof question

Published on 03 May 2020 - 16:45

99

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Multiplication by $n$ formula on elliptic curves

Published on 07 May 2020 - 11:51

27

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Parabolic to Elliptic

Published on 25 Mar 2026 - 20:33

68

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The Laplace equation and an auxiliary boundary problem

Published on 19 May 2020 - 21:09

List Question

Harmonic function on it's non-vanishing set

Bootstrap argument in De Giorgi's regularity theorem for elliptic PDEs

Second Existence theorem for Weak Solution in Evans

Invariant interval for ODE implies invariant interval for parabolic PDE

A continuous function for which Poisson's equation has no C^2 solutions

Elliptic curve in finite field, which solution to choose?

Why is this function a local minimum of this integral functional? (related to elliptic PDEs)

Why holder space is more appropriate than $C^2(\Omega)$ for elliptic equation

Find a weak solution of $- \Delta u + u = h(x) |u|^{q - 2}u$ in $\Bbb{R}^N$, $u \in H^1 (\Bbb{R}^N)$ - Is my reasoning correct?

Bootstrapping For Elliptic Operators in Holder Space

$\Delta u = u$ implies $u$ infinitely differentiable, without Sobolev techniques

Weak maximum principle for eliptic PDEs proof question

Multiplication by $n$ formula on elliptic curves

Parabolic to Elliptic

The Laplace equation and an auxiliary boundary problem

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