(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let [tex] B_R = \{ x \in \mathbb{R}^n: |x| < R \}. [/tex] Calculate the solution of the following Dirichlet problem:

[tex] -\Delta v = 1 [/tex] in [tex] B_R [/tex]

[tex] u = 0 [/tex] on [tex] \partial B_R [/tex]

Calculate the solution of the problem.

2. Relevant equations

3. The attempt at a solution

I know that the solution must be radial for trivial considerations on the invariance of laplacian under orthogonal transformations and the uniqueness of the solution.

I thought about integrating a Green function for the problem, but what Green function?

There must be an easier way I'm missing.

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# Homework Help: Dirichlet problem

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