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arXiv · 2511.11932

A class of Hartree-Fock systems with null mass via Nehari-Pohozaev with logarithmic interactions

J. C. de Albuquerque·J. Carvalho·Edcarlos D. Silva
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Abstract

We establish the existence and qualitative properties of nontrivial solutions for a class of Hartree-Fock type systems defined over the whole space $\mathbb{R}^2$. By introducing a suitable Nehari-Pohozaev manifold, we prove the existence, regularity and we describe the asymptotic behavior of solutions with respect to the interaction parameter $\beta > 0$. In particular, we show that the system admits either a vector ground state or a semitrivial ground state solution, depending on the magnitude of $\beta$.

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J. C. de Albuquerque, J. Carvalho, Edcarlos D. Silva. 2025-11-14. A class of Hartree-Fock systems with null mass via Nehari-Pohozaev with logarithmic interactions. https://arxiv.org/abs/2511.11932

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