Structure of Positive Radial Solutions to Scalar Field Equations with Harmonic Potential

Explicit representations of the regular

Explicit representations of the regular solutions to the time-harmonic Maxwell equations combined with the radial symmetric Euler operator

✍ Isabel Cação; Denis Constales; Rolf Sören Kraußhar 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 114 KB

## Abstract In this paper we consider a generalization of the classical time‐harmonic Maxwell equations, which as an additional feature includes a radial symmetric perturbation in the form of the Euler operator $E:={\textstyle\sum\nolimits\_{i}}\,x\_i {\partial }/{\partial x\_i}$. We show how one