need help (or literature) with an optimization problem

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Hello, during my master thesis i came across an optimization problem which essentially has the form:
$\min_{(n,L) \in \mathbb{N}^2} n C_1 h^{-rL}$
such that $C_2h^{q_1 L}+\frac{C_3}{n^{1-\frac{1}{p}}}h^{q_3L} \leq \epsilon$

for given parameters $C_i,q_i,h,p,r$ and $\epsilon$.
I have never seen such a problem and I'm curious if there are theorems or literature you can recommend.