Existence, nonexistence, and multiple results for the fractional $p$-Kirchhoff-type equation in $\mathbb R^N$ (Q347007)

scientific article; zbMATH DE number 6657739

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English	Existence, nonexistence, and multiple results for the fractional $p$-Kirchhoff-type equation in $\mathbb R^N$	scientific article; zbMATH DE number 6657739

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instance of

scholarly article

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title

Existence, nonexistence, and multiple results for the fractional $p$-Kirchhoff-type equation in $\mathbb R^N$ (English)

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Mediterranean Journal of Mathematics

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publication date

30 November 2016

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zbMATH Keywords

fractional $p$-Laplacian

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Schrödinger-Kirchhoff-type equation

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variational methods

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s00009-016-0793-6

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cites work

Elliptic problems involving the fractional Laplacian in $\mathbb R^N$

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Stationary Kirchhoff problems involving a fractional elliptic operator and a critical nonlinearity

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On some critical problems for the fractional Laplacian operator

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Non-local Diffusions, Drifts and Games

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Uniform estimates and limiting arguments for nonlocal minimal surfaces

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Existence theorems for entire solutions of stationary Kirchhoff fractional $p$-Laplacian equations

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Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity

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Existence of solution for a Kirchhoff type problem involving the fractional p-Laplace operator

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On a class of nonhomogeneous fractional quasilinear equations in $\mathbb R^n$ with exponential growth

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Hitchhiker's guide to the fractional Sobolev spaces

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Positive and negative solutions for a class of Kirchhoff type problems on unbounded domain

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Fractional p-eigenvalues

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Existence and multiplicity of nontrivial solutions for $p$-Laplacian Schrödinger-Kirchhoff-type equations

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Existence results for fractional $p$-Laplacian problems via Morse theory

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Multiple nontrivial solutions to a $p$-Kirchhoff equation

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Three weak solutions for nonlocal fractional equations

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A Brezis-Nirenberg splitting approach for nonlocal fractional equations

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Existence of three solutions for Kirchhoff nonlocal operators of elliptic type

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On an elliptic equation of $p$-Kirchhoff type with convection term

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Critical stationary Kirchhoff equations in $\mathbb R^N$ involving nonlocal operators

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Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional $p$-Laplacian in $\mathbb R^N$

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Existence and multiplicity of entire solutions for fractional $p$-Kirchhoff equations

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Existence of entire solutions for a class of variable exponent elliptic equations

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Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN

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Ground states for fractional Schrödinger equations with critical growth

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Variational methods for non-local operators of elliptic type

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Q4933737

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Existence of solutions for perturbed fractional $p$-Laplacian equations

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Identifiers

zbMATH Open document ID

1353.35302

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Mathematics Subject Classification ID

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10.1007/S00009-016-0793-6

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Mathematics(1 entry)

mardi Publication:347007

Existence, nonexistence, and multiple results for the fractional \(p\)-Kirchhoff-type equation in \(\mathbb R^N\) (Q347007)

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Mathematics(1 entry)