This Phase 2a study (Study SJP-0035/2-02) is being conducted to evaluate the safety and efficacy of 2 doses of SJP-0035 ophthalmic solution in patients with corneal epithelial disorders. The study will evaluate if SJP-0035 ophthalmic solution is able to promote corneal epithelial wound healing in patients with corneal epithelial disorders using 2 doses of SJP-0035 ophthalmic solution (0.0002% and 0.001%) that are lower than what was used in the previous Phase 2a study (Study SJP-0035/2-01; 0.005%).