Are registers stack, per core or per application based? I am doing a study on I found on youtube called OpenSecurityTraining: Introductory Intel x86. From what I understand there are registers like EAX, ECD, EDX, ect... and each have a purpose and hold/move information in memory.

Are these registers per stack/application? Meaning, each application will have it's own EAX, EDX, ect... that it uses to hold or move data in and out of memory?
Each processor has it's own registers. each process has it's own values to the registers which getting stored/reload during context-switch.