Groundstate for the Schrödinger-Poisson-Slater equation involving the Coulomb-Sobolev critical exponent

Groundstate for the Schrödinger-Poisson-Slater equation involving the Coulomb-Sobolev critical exponent

In this article, we study the existence of ground state solutions for the Schrödinger-Poisson-Slater type equation with the Coulomb-Sobolev critical growth: where and . With the help of the Nehari-Pohozaev method, we obtain a ground-state solution for the above equation by employing compactness argu...

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Veröffentlicht in:Advances in nonlinear analysis 2023-03, Vol.12 (1), p.391-404
Hauptverfasser: Lei, Chunyu, Lei, Jun, Suo, Hongmin
Format: Artikel
Sprache:eng
Schlagworte:
35B33
35J20
35J61
Coulomb-Sobolev critical exponent
Ground state
Schrödinger-Poisson-Slater equation
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Zusammenfassung:In this article, we study the existence of ground state solutions for the Schrödinger-Poisson-Slater type equation with the Coulomb-Sobolev critical growth: where and . With the help of the Nehari-Pohozaev method, we obtain a ground-state solution for the above equation by employing compactness arguments.
ISSN:2191-950X
2191-950X
DOI:10.1515/anona-2022-0299