The existence, uniqueness and nonexistence of the ground state to theN-coupled Schrödinger systems in $ \newcommand{\R}{{\mathbb R}} \boldsymbol{\R^n (n\leqslant 4)}$

DOI10.1088/1361-6544/AA8CA9zbMath1378.35032OpenAlexW2776319742MaRDI QIDQ4600991

Yuxia Guo, Senping Luo, Wen Ming Zou

Publication date: 18 January 2018

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6544/aa8ca9

zbMATH Keywords

existence nonexistence uniqueness ground state solution Schrödinger system

Mathematics Subject Classification ID

Variational inequalities (49J40) Nonlinear elliptic equations (35J60) Second-order elliptic equations (35J15) Schrödinger operator, Schrödinger equation (35J10) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

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