On the fractional Kirchhoff equation with critical Sobolev exponent

DOI10.1016/J.AML.2023.108596zbMath1518.35654OpenAlexW4318065588MaRDI QIDQ6160857

Fukun Zhao, Zhipeng Yang, Hao Zhai

Publication date: 26 June 2023

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

Full work available at URL: https://doi.org/10.1016/j.aml.2023.108596

zbMATH Keywords

Lyapunov-Schmidt reductionfractional Kirchhoff equationsperturbed arguments

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)

Cites Work

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• On the singularly perturbation fractional Kirchhoff equations: critical case
• Concentration phenomena for a class of fractional Kirchhoff equations in \(\mathbb{R}^N\) with general nonlinearities
• A critical Kirchhoff type problem involving a nonlocal operator
• Nonlocal minimal surfaces
• Concentrating solutions for a fractional Kirchhoff equation with critical growth
• Classification of solutions for an integral equation

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