Sentence examples for be a weak superharmonic from inspiring English sources

Let (u(x)) be a weak superharmonic function on the ball (B=B(x_{0},r)).

However, this would be a weak argument.

It should not be a weak spring.

Let (u(x)) be a continuous weak superharmonic function, then it has weak partial derivatives (frac{partial u(x)}{partial x_{i}}), (i=1,2,ldots,n), in the ball B and they are square integrable with respect to the weight function (h(x)), i.e. begin{aligned} int _{B(x_{0},r }bigl|operatorname{grad} u(x bigr|^{2}h(x),dx< infty.

end{aligned} (1.1) A bounded measurable function (u(x)) defined on the ball B is said to be weak superharmonic if for all non-negative functions (phiin C^{2}_{0}(B)) the following holds: begin{aligned} int _{B}u(x Deltaphi(x),dx leq0.

So by the definition of a weak superharmonic function (u(x)), we have int _{B}u y cdotDeltaeta_{epsilon} x-y leq0.

This is a weak penalty.

"It is a weak generation".

That's a weak point".

Parking is a weak point.

China was a weak country.