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October 2, 2025Open Access

Existence of ground state solutions to Kirchhoff--Choquard system in R³ with constant potentials

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Authors

HMHiroshi Matsuzawa

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Overview

This analysis shows the existence of ground state solutions in the Kirchhoff–Choquard system, implying important outcomes for specific conditions on potentials.

Key Points

  • Positive ground state solutions exist under certain conditions for the Kirchhoff–Choquard system.
  • The study utilizes a variational approach and the Nehari–Pohozaev manifold to achieve results.
  • Ground state solutions can be obtained for varying parameters related to the potentials and the system's constants.
  • Regularity results are extended to support the validity of the Pohozaev identity in the coupled system.

Cite This Study

Hiroshi Matsuzawa (2025) studied this question.

synapsesocial.com/papers/68de5d9c83cbc991d0a204c2https://doi.org/10.48550/arxiv.2507.09163
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