Groundstates for planar Schrödinger-Poisson system involving convolution nonlinearity and critical exponential growth

DOI10.1007/s12220-024-01671-0zbMath1540.35375MaRDI QIDQ6544542

Lixi Wen, Muhua Shu, Peng Jin

Publication date: 27 May 2024

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

Trudinger-Moser inequalitycritical exponential growthground state solutionsStein-Weiss nonlinearity

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) 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) Variational methods for second-order elliptic equations (35J20) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Integro-partial differential equations (35R09)

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