  In this paper, we investigate the existence of admissible (and strictly
convex) smooth solutions to the prescribed $L_p$ quotient type curvature
problem with $p>1$. For cases where $p=k-l+1$ and $p> k-l+1$, we obtain an
admissible solution without any additional conditions, which is strictly
spherically convex under a convexity condition. Under the same convexity
condition, we establish the existence of a strictly spherically convex solution
for the case $p<k-l+1$, provided that the prescribed function is even, a
condition known to be necessary.
