Existence and multiplicity of solutions for a fractional p-Laplacian problem of Kirchhoff type via Krasnoselskii’s genus

Title:

Existence and multiplicity of solutions for a fractional p-Laplacian problem of Kirchhoff type via Krasnoselskii’s genus

Creator:

Benhamida, Ghania and Moussaoui, Toufik

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:ee7efbf8-218b-45cf-9eea-b00445f7014f
uuid:ee7efbf8-218b-45cf-9eea-b00445f7014f
doi:10.21136/MB.2017.0010-17

Subject:

existence results, genus theory, and fractional p-Kirchhoff problem

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

We use the genus theory to prove the existence and multiplicity of solutions for the fractional p-Kirchhoff problem − [ M ( ∫ Q |u(x) − u(y)| p |x − y|N+ps dx dy) ]p−1 (−∆)s pu = λh(x, u) in Ω, u = 0 on ℝ N \ Ω, where Ω is an open bounded smooth domain of ℝ N , p > 1, N > ps with s ∈ (0, 1) fixed, Q = ℝ 2N \ (CΩ × CΩ), λ > 0 is a numerical parameter, M and h are continuous functions.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

189-200

Source:

Mathematica bohemica | 2018 Volume:143 | Number:2

Harvested from:

CDK

Metadata only:

false