A planar Schrödinger-Newton system with Trudinger-Moser critical growth

DOI10.1007/s00526-023-02463-0OpenAlexW4327980533MaRDI QIDQ2695759

Vicenţiu D. Rădulescu, Zhisu Liu, Jian Jun Zhang

Publication date: 5 April 2023

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-023-02463-0

zbMATH Keywords

positive solutionsSchrödinger-Poisson systemscritical exponential growthSchrödinger-Newton system

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Second-order elliptic systems (35J47) Positive solutions to PDEs (35B09) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (2)

Nonlocal planar Schrödinger-Poisson systems in the fractional Sobolev limiting case ⋮ Positive solutions to the planar logarithmic Choquard equation with exponential nonlinearity

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