partial differential equations laplace equation mean value theorem modified from Evans https://klevas.mif.vu.lt/~algirdas/Evans.pdf page 85

Can you help me solve this problem? I'm stuck

  • Do i use Green's equation?

    Votes: 0 0.0%
  • Do i use the fundamental solution of laplace equation?

    Votes: 0 0.0%

  • Total voters
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What is the "proof of MVT theorem" (the proof that you have been asked to modify) that was discussed in your course?
I know the proof of MVT theorem. I just don't know how to modify it. I'm sorry if I'm not clear enough of what I want it's my first time in a math forum.
 
I know the proof of MVT theorem. I just don't know how to modify it. I'm sorry if I'm not clear enough of what I want it's my first time in a math forum.
Please provide definitions of u, g, S, B, α\displaystyle \alpha and r.
 
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