What is your substrate criteria?
The porcelain tiles will easily support any kitchen appliance you want to put on them if the tiles are installed properly.
If your substrate is wood...
What size are the joists?
What style are the joists?
What is the side-by-side spacing of the joists?
What is the unsupported span of the joists in this area?
What is the subfloor constructed of?
How many layers of subfloor?
Are you using a tile underlayment?
Which tile adhesive do you have in mind?
What does your stove "really" weigh?