You can take it to a 3rd party repair site and have the screen replaced but this will preven you from doing an out-of-warranty replacement in the future. Look for someplace local or you can try an online site such as http://www.iresq.com.
Apple's Limited Warranty http://www.apple.com/legal/warranty/ for iPad excludes coverage for damage resulting from accident, disassembly, unauthorized service and unauthorized modifications.
The warranty will apply to the country of purchase. And if there is a problem needing repair you have to return it to the country of purchase.
If you own an iPad that is ineligible for warranty service but is eligible for Out-of-Warranty (OOW) Service, Apple will replace (Apple doesn't repair) your iPad with an iPad that is new or equivalent to new in both performance and reliability for the Out-of-Warranty Service fee listed below. (The replacement will most likely be a refurbished iPad in a brown box, however, it has a new screen, back and battery.)
Out-of-Warranty Service Fee
iPad 3rd, 4th, Air
iPad 2, iPad
A $6.95 shipping fee will be added if service is arranged through Apple and requires shipping. All fees are in US dollars and are subject to local tax.
Certain damage is ineligible for out-of-warranty service, including catastrophic damage, such as the device separating into multiple pieces, and inoperability caused by unauthorized modifications. However, an iPad that has failed due to contact with liquid may be eligible for out-of-warranty service. See http://support.apple.com/kb/index?page=servicefaq&geo=United_States&product=ipad
Make a Genius Bar Reservation
You may can get the iPad repaired at 3rd party repair sources for less $, however, any remaining Apple warranty will be voided.
iCracked - Broken iPhone, iPod or iPad
iReVamp Electronics Screen Repair ($99)
iPad Repair & Screen Replacement Services
RepairZoom iPad Repair
Do It Yourself iPad Repair