Ground State Solution for the Logarithmic Schrödinger–Poisson System with Critical Growth
In this paper we investigate a class of logarithmic Schrödinger–Poisson system with critical growth which are from physically relevant backgrounds. Under suitable assumptions on the potential V ( x ), we obtain the existence of ground state solution for ε > 0 sufficiently small via using a constr...
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Veröffentlicht in: | Qualitative theory of dynamical systems 2025-02, Vol.24 (1), Article 16 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | In this paper we investigate a class of logarithmic Schrödinger–Poisson system with critical growth which are from physically relevant backgrounds. Under suitable assumptions on the potential
V
(
x
), we obtain the existence of ground state solution for
ε
>
0
sufficiently small via using a constrained minimization on a Nehari manifold and some new techniques. Specially, by restricting the least energy
c
to a suitable interval, we overcome some difficulties brought by the critical term
u
5
for restoring the compactness of the minimizing sequence of the least energy
c
. |
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ISSN: | 1575-5460 1662-3592 |
DOI: | 10.1007/s12346-024-01174-x |