An Ohta-Kawasaki Model set on the space
Published in arXiv, 2024
Recommended citation: L. Aguirre Salazar, Xin Yang Lu, and Jun-cheng Wei. (2024) " An Ohta-Kawasaki Model set on the space " arXiv preprint arXiv:2401.03120. https://arxiv.org/pdf/2401.03120.pdf
We examine a non-local diffuse interface energy with Coulomb repulsion in three dimensions inspired by the Thomas-Fermi-Dirac-von Weizsäcker, and the Ohta-Kawasaki models. We consider the corresponding mass-constrained variational problem and show the existence of minimizers for small masses, and the absence of minimizers for large masses.
Recommended citation: L. Aguirre Salazar, Xin Yang Lu, and Jun-cheng Wei. (2024) " An Ohta-Kawasaki Model set on the space " arXiv preprint arXiv:2401.03120.