One common way describing the different product formation under different conditions is kinetic vs thermodynamic control.
Considering the case of two possible products, one which is more stable (lower energy) but has a higher activation energy for the reaction pathway, and the other which is higher in energy but there is a smaller activation barrier.
Under kinetic control, typically lower reaction temperatures, the product formed is the one with the lowest activation energy pathway as there is not enough thermal energy to get the reactants over large activation barriers.
Under thermodynamic control, at high enough temperatures that there is sufficient thermal energy to get over all the relevant activation barriers, there will be a mixture of products dependent upon their relative thermodynamic stabilities.
The reaction will reach an equilibrium between the possible products, the majority product being the lowest energy molecule.