Existence and multiplicity of solutions for Kirchhoff equations with Hardy-Littlewood-Sobolev critical nonlinearity
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Publication:1739430
DOI10.1016/j.aml.2019.01.017zbMath1416.35110OpenAlexW2914089788WikidataQ128585890 ScholiaQ128585890MaRDI QIDQ1739430
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.2019.01.017
mountain pass theoremKirchhoff equationconcentration-compactness principleHardy-Littlewood-Sobolev critical exponent
Boundary value problems for second-order elliptic equations (35J25) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60)
Related Items (7)
Degenerate fractional Kirchhoff-type system with magnetic fields and upper critical growth ⋮ Existence to fractional critical equation with Hardy-Littlewood-Sobolev nonlinearities ⋮ Multiplicity of solutions for a class of Kirchhoff type equations with Hardy-Littlewood-Sobolev critical nonlinearity ⋮ Ground states solutions for a modified fractional Schrödinger equation with a generalized Choquard nonlinearity ⋮ Multiplicity of solutions for a fractional Kirchhoff type equation with a critical nonlocal term ⋮ On the \(p\)-fractional Schrödinger-Kirchhoff equations with electromagnetic fields and the Hardy-Littlewood-Sobolev nonlinearity ⋮ Fractional Kirchhoff-Choquard equation involving Schrödinger term and upper critical exponent
Cites Work
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- The Nehari manifold for a Kirchhoff type problem involving sign-changing weight functions
- On nonlocal Choquard equations with Hardy-Littlewood-Sobolev critical exponents
- The Brezis-Nirenberg type critical problem for the nonlinear Choquard equation
- Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
- A multiplicity result for quasilinear elliptic equations involving critical sobolev exponents
- Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
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