The stationary quantum Zakharov system perturbed by a local nonlinearity

DOI10.1016/j.aml.2019.04.004zbMath1432.35083OpenAlexW2935927812WikidataQ128068177 ScholiaQ128068177MaRDI QIDQ2274724

Shuai Yao, Juntao Sun, Tsung-fang Wu

Publication date: 1 October 2019

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

Full work available at URL: https://doi.org/10.1016/j.aml.2019.04.004

zbMATH Keywords

Nehari manifoldquantum Zakharov systemexistence and non-existence of solutions

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Boundary value problems for higher-order elliptic systems (35J58)

Related Items (1)

The existence and nonexistence of entire large solutions for a quasilinear Schrödinger elliptic system by dual approach

Cites Work

• On one dimensional quantum Zakharov system
• Existence and multiplicity of nontrivial solutions for some biharmonic equations with \(p\)-Laplacian
• On the existence of solutions for the Schrödinger-Poisson equations
• Multiple positive solutions for a class of concave-convex elliptic problems in \(\mathbb R^N\) involving sign-changing weight
• On the standing waves of quantum Zakharov system
• On the variational principle
• Global well-posedness and the classical limit of the solution for the quantum Zakharov system

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