Multiple solutions for critical fourth-order elliptic equations of Kirchhoff type

DOI10.1007/S40840-020-00986-9zbMath1465.35173OpenAlexW3049438901MaRDI QIDQ2021681

Zeyi Liu, Fu Zhao, Sihua Liang

Publication date: 27 April 2021

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-020-00986-9

zbMATH Keywords

variational methodsmultiplicity of solutionscritical growthbiharmonic operatorequation of Kirchhhoff-type

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11)

Related Items (3)

Positive solutions for a Kirchhoff-type equation with critical and supercritical nonlinear terms ⋮ Existence and uniqueness of solution to a fourth-order Kirchhoff type elliptic equation with strong singularity ⋮ On degenerate fractional Schrödinger–Kirchhoff–Poisson equations with upper critical nonlinearity and electromagnetic fields

Cites Work

• The concentration-compactness principle in the calculus of variations. The limit case. I
• Positive solutions for a nonlocal fourth order equation of Kirchhoff type
• Positive solutions for a nonlinear nonlocal elliptic transmission problem
• Nontrivial solutions of nonlocal fourth order elliptic equation of Kirchhoff type in \(\mathbb{R}^3\)
• Minimax theorems
• Multiplicity of solutions for fourth-order elliptic equations of Kirchhoff type with critical exponent
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• On Critical Point Theory for Indefinite Functionals in The Presence of Symmetries

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