A fractional Kirchhoff system with singular nonlinearities

DOI10.1007/s13324-018-0251-7zbMath1430.35089OpenAlexW2895610734WikidataQ129140530 ScholiaQ129140530MaRDI QIDQ2009461

Yanyan Li

Publication date: 28 November 2019

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

Full work available at URL: https://doi.org/10.1007/s13324-018-0251-7

zbMATH Keywords

multiple positive solutionsNehari manifoldsingular nonlinearityfractional Laplace operatorKirchhoff-type equations

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Positive solutions to PDEs (35B09) Fractional partial differential equations (35R11)

Related Items (7)

Nonlocal p-Kirchhoff equations with singular and critical nonlinearity terms ⋮ Three positive solutions for Kirchhoff equation with singular and sub-cubic nonlinearities ⋮ Unnamed Item ⋮ A class of variable-order fractional \(p(\cdot)\)-Kirchhoff-type systems ⋮ Combined effects of Choquard and singular nonlinearities in fractional Kirchhoff problems ⋮ Fractional Kirchhoff-Choquard system with upper critical exponent and singular nonlinearity ⋮ Critical Kirchhoff-Choquard system involving the fractional \(p\)-Laplacian operator and singular nonlinearities

Cites Work

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• A uniqueness result for Kirchhoff type problems with singularity
• Semilinear problems for the fractional Laplacian with a singular nonlinearity
• Positive solutions of Kirchhoff type problem with singular and critical nonlinearities in dimension four
• Multiple positive solutions for Kirchhoff type of problems with singularity and critical exponents
• Global bifurcation and local multiplicity results for elliptic equations with singular nonlinearity of super exponential growth in \(\mathbb R^2\)
• Multiplicity of positive solutions for a singular and critical problem
• A critical fractional elliptic equation with singular nonlinearities
• Best constants for Sobolev inequalities for higher order fractional derivatives
• Variational methods for non-local operators of elliptic type
• A Brezis-Nirenberg result for non-local critical equations in low dimension
• A double saddle-node bifurcation theorem
• Existence and multiplicity of positive solutions for a class of Kirchhoff type problems with singularity
• A fractional Kirchhoff problem involving a singular term and a critical nonlinearity
• Singular elliptic problems with lack of compactness
• On a singular nonlinear dirichlet problem
• Variational Methods for Nonlocal Fractional Problems
• Lévy Processes and Stochastic Calculus
• On a dirichlet problem with a singular nonlinearity
• Positive solutions for the p-Laplacian: application of the fibrering method
• The Nehari manifold for a singular elliptic equation involving the fractional Laplace operator
• Existence of multiple solutions for a singular and quasilinear equation

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