Talk:Weakly harmonic function
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The harmonic function article summary states:
There also exists a seemingly weaker definition that is equivalent. Indeed a function is harmonic if and only if it is weakly harmonic.
But the weakly harmonic function article states:
This definition is weaker than the definition of harmonic function because it doesn't require that f is a twice continuously differentiable function. If it is the case, this definition is then equivalent to the definition of harmonic function.