# precise evaluation – scowl certain of the rot appraise of a Newtonian potential retort

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## precise evaluation – scowl certain of the rot appraise of a Newtonian potential

I’m contemplating the next Newtonian potential
$$theta(x) = int_{mathbb{R}^3}frac{1}x-yw(y) dy.$$
Here $$w(y) ge 0$$ is a nontrivial gentle responsibility in $$L^1(mathbb{R}^3)$$. Now $$theta(x) ge 0$$ is well-defined. Can we purchase the next appraise $$theta(x) ge frac{c}$$ for some optimistic ceaseless $$c$$? I arbitrator the non-negativeness of $$w$$ performs an needful function right here. If $$w$$ oscilates and adjustments enthralling often, I speculate $$theta$$ might rot with a charge sooner than $$|x|^{-1}$$.

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