Multiple positive solutions for Kirchhoff type problems with singularity and asymptotically linear nonlinearities

DOI10.1016/J.AML.2019.03.007zbMath1412.35022OpenAlexW2921186880MaRDI QIDQ1739516

Jia-Feng Liao, Chun-Yu Lei

Publication date: 26 April 2019

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

Full work available at URL: https://doi.org/10.1016/j.aml.2019.03.007

zbMATH Keywords

Kirchhoff problemtwo positive solutionsvariational and perturbation methods

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Positive solutions to PDEs (35B09) Singular elliptic equations (35J75) Integro-partial differential equations (35R09)

Related Items (10)

Uniqueness and concentration for a fractional Kirchhoff problem with strong singularity ⋮ Asymptotic behavior of the unique solution for a fractional Kirchhoff problem with singularity ⋮ Positive solutions for elliptic problems with the nonlinearity containing singularity and Hardy-Sobolev exponents ⋮ Multiple positive solutions for a \(p(x)\)-Kirchhoff problem with singularity and critical exponent ⋮ Three positive solutions for Kirchhoff equation with singular and sub-cubic nonlinearities ⋮ FRACTIONAL SCHRÖDINGER–POISSON SYSTEM WITH SINGULARITY: EXISTENCE, UNIQUENESS, AND ASYMPTOTIC BEHAVIOR ⋮ Unnamed Item ⋮ Existence and nonexistence of solutions for a class of Kirchhoff type equation involving fractional \(p\)-Laplacian ⋮ Some existence results for a nonlocal non-isotropic problem ⋮ Existence of positive solution for a class of nonlocal problem with strong singularity and linear term

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