People on low incomes may be entitled to discounted premiums under the Federal Health Insurance Act (KVG). This is often the case for "young adults", as schoolchildren, students and trainees often have to get by on very low salaries or no income at all. Depending on how much you earn, the calculation of your entitlement to discounted premiums may take your parents' economic situation into account. The cantons each have their own procedures for applying for discounted premiums.
Find the relevant office