Ground states for planar Hamiltonian elliptic systems with critical exponential growth

DOI10.1016/j.jde.2021.10.063zbMath1478.35196OpenAlexW3212048438MaRDI QIDQ2054012

Dongdong Qin, Jian Zhang, Xian Hua Tang

Publication date: 30 November 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2021.10.063

zbMATH Keywords

Trudinger-Moser inequalityground state solutioncritical exponential growthHamiltonian elliptic systemsstrongly indefinite problem

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Variational methods for elliptic systems (35J50) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47)

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