Solar energy paper index
Periodic ground states for a one-parameter family of nonlocal energies on the real line
One-line summary
A solar energy research paper on Periodic ground states for a one-parameter family of nonlocal energies on the real line.
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Chinese explanation / 中文解读
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Original abstract
In dimension one, we introduce a one-parameter family of nonlocal energies, including subcritical Gagliardo seminorms and Riesz functionals, acting on scalar functions whose derivative is given by a periodic configuration of screened Dirac masses. We prove that the global minimizers are given by the equi-spaced configurations of particles. This result is achieved by representing the energy functionals as interaction potentials depending on the geodesic distances between the particles, exploiting the complete monotonicity properties of such potentials and invoking the celebrated Cohn-Kumar Universality Theorem.
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