Planar Schrödinger-Poisson system with exponential critical growth: local well-posedness and standing waves with prescribed mass

DOI10.1111/sapm.12760MaRDI QIDQ6661967

Juntao Sun, Jian Zhang, Shuai Yao

Publication date: 13 January 2025

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

variational methodlocal well-posednessstanding wavecritical exponential growthplanar Schrödinger-Poisson system

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Semilinear elliptic equations (35J61)

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