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A result on a class of elliptic equations involving Kirchhoff type nonlocal term

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Publication:2013821
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DOI10.1016/J.CAMWA.2016.11.036zbMath1375.35187OpenAlexW2563588838MaRDI QIDQ2013821

Jiu Liu, Zhongquan Yan, Zhibo Zheng

Publication date: 9 August 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2016.11.036


zbMATH Keywords

Kirchhoff type equationsBerestycki-Lions conditions


Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)





Cites Work

  • Unnamed Item
  • Nonlinear scalar field equations. I: Existence of a ground state
  • Minimax theorems
  • Existence of positive ground state solutions for Kirchhoff type problems
  • Ground states for Kirchhoff equations without compact condition
  • Existence of positive ground state solutions for the nonlinear Kirchhoff type equations in \(\mathbb{R}^3\)
  • On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝN
  • On the Schroedinger equation in $\mathbb{R}^{N}$ under the effect of a general nonlinear term




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