4.4 Article

Positive Ground State Solutions for Schrodinger-Poisson System Involving a Negative Nonlocal Term and Critical Exponent

Journal

MEDITERRANEAN JOURNAL OF MATHEMATICS
Volume 19, Issue 6, Pages -

Publisher

SPRINGER BASEL AG
DOI: 10.1007/s00009-022-02163-7

Keywords

Schrodinger-Poisson system; critical exponent; variational method; ground state solution

Funding

  1. National Natural Science Foundation of China [11861052]
  2. Natural Science Foundation of Sichuan [2022NSFSC1816]
  3. Fundamental Research Funds of China West Normal University [18B015]
  4. Science, Technology Foundation of Guizhou [[2019]5653]
  5. Innovative Research Team of China West Normal University [CXTD20188]

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In this article, we study the Schrodinger-Poisson system with a negative nonlocal term and critical exponent. By using the variational method and analytic techniques, we prove the existence of a positive ground state solution, which improves upon the recent results in literature.
In this article, we are dedicated to study the Schrodinger-Poisson system involving a negative nonlocal term and critical exponent. Using the variational method and analytic techniques, we establish the existence of positive ground state solution which improves the recent results in the literature.

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