Groundstates for Planar Schrödinger–Poisson System Involving Convolution Nonlinearity and Critical Exponential Growth

This paper is concerned with a planar Schrödinger–Poisson system involving Stein–Weiss nonlinearity 0.1 - Δ u + V ( x ) u + ϕ u = 1 | x | β ∫ R 2 F ( u ( y ) ) | x - y | μ | y | β d y f ( u ) , x ∈ R 2 , Δ ϕ = u 2 , x ∈ R 2 , and its degenerate case 0.2 - Δ u + ϕ u = ∫ R 2 F ( u ( y ) ) | x - y | μ...

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Veröffentlicht in:	The Journal of geometric analysis 2024-08, Vol.34 (8), Article 230
Hauptverfasser:	Jin, Peng, Shu, Muhua, Wen, Lixi
Format:	Artikel
Sprache:	eng
Schlagworte:	Abstract Harmonic Analysis Convex and Discrete Geometry Differential Geometry Dynamical Systems and Ergodic Theory Fourier Analysis Global Analysis and Analysis on Manifolds Mathematics Mathematics and Statistics Nonlinearity Variational methods
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