Contents V.15 N.2 2024

  • LEAST ENERGY SIGN-CHANGING SOLUTIONS FOR KIRCHHOFF-TYPE EQUATIONS WITH LOGARITHMIC NONLINEARITY ON LOCALLY FINITE GRAPHS
    X. OU, X. ZHANG (pp. 286-317)
    10.30546/2219-1259.15.2.2024.01286

    • Abstract.

    We obtain the existence results of least energy sign-changing solutions and ground state solutions for a class of Kirchhoff-type equations with general power law, logarithmic non linearity and Dirichlet boundary value on a locally finite graph G = (V,E), and obtain the least energy of sign-changing solutions is strictly larger than twice of the energy of the ground state solutions

    Keywords:

    Kirchhoff-type equations, locally finite graphs, least energy sign-changing solutions, ground state solutions, logarithmic nonlinearity

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