Results on a strongly coupled, asymptotically linear pseudo-relativistic Schrödinger system: Ground state, radial symmetry and Hölder regularity

Results on a strongly coupled, asymptotically linear pseudo-relativistic Schrödinger system: Ground state, radial symmetry and Hölder regularity

In this paper we consider the asymptotically linear, strongly coupled nonlinear system −Δ+m2u=u2+v21+s(u2+v2)u+λv,−Δ+m2v=u2+v21+s(u2+v2)v+λu,where m>0, 0

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Veröffentlicht in:Nonlinear analysis 2022-08, Vol.221, p.112916, Article 112916
Hauptverfasser: Bueno, Hamilton, Mamani, Guido G., Medeiros, Aldo H.S., Pereira, Gilberto A.
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic linear system
Nehari–Pohozaev manifold
Pseudo-relativistic Schrödinger operator
Radial symmetry
Regularity
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Zusammenfassung:In this paper we consider the asymptotically linear, strongly coupled nonlinear system −Δ+m2u=u2+v21+s(u2+v2)u+λv,−Δ+m2v=u2+v21+s(u2+v2)v+λu,where m>0, 0
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2022.112916