A Hopf type lemma and the symmetry of solutions for a class of Kirchhoff equations

DOI10.3934/CPAA.2021027zbMath1466.35168OpenAlexW3135124742WikidataQ124815614 ScholiaQ124815614MaRDI QIDQ2032103

Yahui Niu

Publication date: 16 June 2021

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2021027

zbMATH Keywords

moving planesymmetry and monotonicityHopf type lemmaanti-symmetric functionsfractional Kirchhoff equations

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Symmetries, invariants, etc. in context of PDEs (35B06)

Cites Work

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• Radial symmetry of positive solutions of nonlinear elliptic equations in Rⁿ
• A Hopf type lemma for fractional equations
• Existence results for Kirchhoff–type superlinear problems involving the fractional Laplacian
• An Extension Problem Related to the Fractional Laplacian
• Classification of solutions for an integral equation

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