Why is the case $1/2

Why is the case $1/2

I'm studying the elliptic equation $D_j(a_{ij}D_i u)=0$ where the
coefficient matrix $(a_{ij})$ is constant positive definite and elliptic
(with the bound $0<\lambda\leq\Lambda$). There is an energy estimate of
its weak solution $u\in C^1(B_1)$ which reads $$\int_{B_\rho}u^2\leq
c\rho^n\int_{B_1}u^2$$ where $c=c(\lambda,\Lambda)$. Is there any reason
that the case $1/2<\rho\leq 1$ is trivial? I can hardly find out why it is
evident (to the authors). If so, why does this inequality holds in this
case?