You can bring your psp in some electronic repair shop to get it fixed. And for sure there is one near your place. But it's advisable to bring your psp to a authorized service center of Sony. To make sure the quality of the service you can get.
nitanegrita47, Shopping Expert
Then again, this answer might help you...
Many electronics stores such as Best Buy offer services that can fix your PSP. If it costs too much money, it might be easier to just buy a new or used PSP.