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YES! We introduce a variable power Maxwell nonlinear electrodynamics theorywhich can remove the singularity of electric field of point-like charges attheir locations. One of the main problems of Maxwell's electromagnetic fieldtheory is related to the existence of singularity for electric field ofpoint-like charges at their locations. In other words, the electric field of apoint-like charge diverges at the charge location which leads to an infiniteself-energy. In order to remove this singularity a few nonlinearelectrodynamics (NED) theories have been introduced. Born-Infeld (BI) NEDtheory is one of the most famous of them. However the power Maxwell (PM) NEDcannot remove this singularity. In this paper, we show that the PM NED theorycan remove this singularity, when the power of PM NED is less than$s<\frac{1}{2}$.

Can the power Maxwell nonlinear electrodynamics theory remove the singularity of electric field of point-like charges at their locations?