The existence of a ground-state solution for a class of Kirchhoff-type equations in ℝN

DOI10.1017/S0308210515000505zbMath1346.35203OpenAlexW2334048664MaRDI QIDQ5741037

Chun-Lei Tang, Jia-Feng Liao, Jiu Liu

Publication date: 20 July 2016

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210515000505

zbMATH Keywords

concentration-compactness principleNehari manifoldKirchhoff-type equationlack of compactness

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Positive solutions to PDEs (35B09) Integro-partial differential equations (35R09)

Related Items (7)

Ground state solutions for asymptotically periodic Kirchhoff-type equations with asymptotically cubic or super-cubic nonlinearities ⋮ Unnamed Item ⋮ Ground state solution on a non-autonomous Kirchhoff type equation ⋮ Existence of least energy sign-changing solution for the nonlinear Schrödinger system with two types of nonlocal terms ⋮ A positive ground state solution for a class of asymptotically periodic Schrödinger equations ⋮ A study on the critical Kirchhoff problem in high-dimensional space ⋮ Semi-classical solutions for Kirchhoff type problem with a critical frequency

Cites Work

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• Solutions for Quasilinear Schrödinger Equations via the Nehari Method
• On the Well-Posedness of the Kirchhoff String

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