List questions from harmonic-functions

50

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Prove that $L^p\left ( \mathbb R^n, e^{\frac{-1}2 |x|^2} \right)\cap \theta(\mathbb R^n)$ is infinite dimensional

Published on 05 Oct 2023 - 14:54

39

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Does a gauge-invariant Caccioppoli inequality hold?

Published on 25 Mar 2026 - 16:09

38

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Calculate the integral with a normalized kernel

Published on 23 Feb 2026 - 10:07

64

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poisson's formula for half-spce, evans page 38

Published on 26 Mar 2026 - 12:52

38

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Question about Theorem 1 in Chapter 2 of Evans's Partial Differential Equations

Published on 15 Oct 2023 - 17:35

77

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Solve $\nabla^2 u(x,y) = 1-y$ + B.C.

Published on 27 Mar 2026 - 14:21

163

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How to solve the two-dimensional Laplace equation in this unbounded and multiply-connected domain?

Published on 18 Oct 2023 - 23:26

52

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Question on Theorem 2.2.13 in Partial Differential Equations by Evans

Published on 27 Mar 2026 - 12:02

127

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Understanding construction of fundamental solution to laplace's equation

Published on 28 Oct 2023 - 10:34

42

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Understanding why the given function in harmonic

Published on 29 Oct 2023 - 8:47

46

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What is the representation theory of the harmonic function $\frac{r}{x + i y}$?

Published on 29 Oct 2023 - 19:26

18

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How to show existence of harmonic functions on the unit disk

Published on 20 Mar 2026 - 0:47

41

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Strong maximum principle for a local maximum

Published on 26 Mar 2026 - 16:03

46

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Equivalences of converse of mean value property, with $u$ not assumed harmonic.

Published on 02 Nov 2023 - 19:21

37

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Definition of the generic rate of a blow-up

Published on 25 Mar 2026 - 22:06

List Question

Prove that $L^p\left ( \mathbb R^n, e^{\frac{-1}2 |x|^2} \right)\cap \theta(\mathbb R^n)$ is infinite dimensional

Does a gauge-invariant Caccioppoli inequality hold?

Calculate the integral with a normalized kernel

poisson's formula for half-spce, evans page 38

Question about Theorem 1 in Chapter 2 of Evans's Partial Differential Equations

Solve $\nabla^2 u(x,y) = 1-y$ + B.C.

How to solve the two-dimensional Laplace equation in this unbounded and multiply-connected domain?

Question on Theorem 2.2.13 in Partial Differential Equations by Evans

Understanding construction of fundamental solution to laplace's equation

Understanding why the given function in harmonic

What is the representation theory of the harmonic function $\frac{r}{x + i y}$?

How to show existence of harmonic functions on the unit disk

Strong maximum principle for a local maximum

Equivalences of converse of mean value property, with $u$ not assumed harmonic.

Definition of the generic rate of a blow-up

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