Illinois veterans and persons with disabilities may be eligible for tax relief through the property tax homestead exemptions and mobile home exemptions. Nebraska Homestead Exemption.Nebraska Homestead Exemption Application, Form 458. Applicants must file a Form PTAX-341, Application for Returning Veterans' Homestead Exemption, with the Chief County Assessment Office. Paraplegic veterans can qualify for a full exemption from property taxes. Previously, a disabled veteran was required to certify annually to be eligible to receive a homestead exemption. The Nebraska Homestead Exemption program is a property tax relief program for qualified individuals who own a home in Nebraska. Douglas County has additional exemptions for 62 years of age or older, disabled veterans or their surviving spouses, and totally disabled homeowners. Bill Title: Amends the Property Tax Code. Additional exemptions are available for seniors, the disabled, the blind, and veterans.