Multiplicity of solutions for variable-order fractional Kirchhoff equations with nonstandard growth

DOI10.1016/J.JMAA.2020.124269zbMath1472.35444OpenAlexW3028756726MaRDI QIDQ2033270

Mingqi Xiang, Die Hu, Binlin Zhang, Yue Wang

Publication date: 14 June 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124269

zbMATH Keywords

Fractional Laplace operator

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11)

Related Items (15)

Global existence and asymptotic behavior of solutions to fractional ( p , q )-Laplacian equations ⋮ Time-space fractional diffusion problems: existence, decay estimates and blow-up of solutions ⋮ The existence of positive solutions for the Neumann problem of \(p\)-Laplacian elliptic systems with Sobolev critical exponent ⋮ Sign-changing solutions for Kirchhoff-type problems involving variable-order fractional Laplacian and critical exponents ⋮ On critical variable-order Kirchhoff type problems with variable singular exponent ⋮ On fractional p-Laplacian type equations with general nonlinearities ⋮ Existence of solutions for fractional Kirchhoff–Schrödinger–Poisson equations via Morse theory ⋮ Dynamic stability of a class of fractional‐order nonlinear systems via fixed point theory ⋮ Sign-changing solutions for Kirchhoff-type variable-order fractional Laplacian problems ⋮ Existence and Multiplicity of Solutions for a Class of Fractional Kirchhoff Type Problems with Variable Exponents ⋮ \(p\)-Laplacian type equations via mountain pass theorem in Cerami sense ⋮ Recent developments in problems with nonstandard growth and nonuniform ellipticity ⋮ Existence and blow-up of solutions for fractional wave equations of Kirchhoff type with viscoelasticity ⋮ Critical Kirchhoff \(p(\cdot) \& q(\cdot)\)-fractional variable-order systems with variable exponent growth ⋮ Mixed order elliptic problems driven by a singularity, a Choquard type term and a discontinuous power nonlinearity with critical variable exponents

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