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October 17, 2025Mathematical Methods in the Applied Sciences

Critical Schrödinger–Poisson–Slater Equation With Lower Order Perturbation: Existence and Multiplicity of Solutions

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Authors

JZJing ZhangGWGong WangDQDongdong Qin

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Overview

Analysis reveals multiple solutions for the Schrödinger–Poisson–Slater equation, indicating new insights into perturbation effects.

Key Points

  • A nontrivial solution is found under certain conditions, implying novel insights into zero mass Schrödinger–Poisson–Slater equations.
  • The study demonstrates the existence of ground state solutions within a specialized set, suggesting robustness in this mathematical framework.
  • By restoring compactness through a modified functional, the authors reveal new sequences of solutions converging to zero, highlighting advanced mathematical techniques.
  • The application of the critical point theorem enhances understanding of solution multiplicity, addressing gaps in existing literature.

Cite This Study

Zhang et al. (2025) studied this question.

synapsesocial.com/papers/68f199d1de32064e504dd4cahttps://doi.org/10.1002/mma.70199
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Also Consider

Synapse has enriched 2 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1An eigenvalue problem for the Schrödinger-Maxwell equations1998 · 669 citations
  2. 2MULTIPLE BOUND STATES FOR THE SCHRÖDINGER–POISSON PROBLEM2008 · 446 citations