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arXiv · 2603.14490

Concentrated solutions to fractional Schr\"{o}dinger-Poisson system with non-homogeneous potentials

Lintao Liu·Haidong Yang
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Abstract

This paper mainly investigates several limit properties of normalized solutions for the fractional Schr\"{o}dinger-Poisson system, including existence, concentration behaviors and local uniqueness. It is worth noting that our results on the existence and asymptotic behaviors of normalized solutions are obtained in a doubly nonlocal setting and without assuming homogeneity of the potential, which generalize the results in \cite{GDCDS} in several aspects and improve our previous work in \cite{LIUYANG}. Meanwhile, some precise properties of solution sequence such as energy estimates, decay estimates and uniform regularity are also established by introducing some new techniques.

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Lintao Liu, Haidong Yang. 2026-03-15. Concentrated solutions to fractional Schr\"{o}dinger-Poisson system with non-homogeneous potentials. https://arxiv.org/abs/2603.14490

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