| Abstract: |
| It is well known that in the classical Maxwell electromagnetic theory the so called infinite energy problem appears: the energy of the electrostatic field generated by a point charge is infinite. In the early years of the last century, Born and Infeld proposed to solve such a problem by introducing a nonlinear modification of Maxwell`s theory. The aim of this talk is therefore to introduce the Born-Infeld equation and to present some recent existence results concerning normalized solutions for a large class of operators by means of variational methods. |
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