Results 151 to 160 of about 347 (175)

Existence and multiplicity for fractional differential equations with $$m(\xi )$$-Kirchhoff type-equation

Computational and Applied Mathematics
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J Vanterler Da C Sousa, Gustavo S A Costa, Sousa J Vanterler DA C   +2 more
exaly   +3 more sources

The existence of normalized solutions to the fractional Kirchhoff equation with potentials

Journal of Mathematical Analysis and Applications
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Fangqi Chen
exaly   +3 more sources

Existence of positive solutions for fractional Kirchhoff equation

Zeitschrift für angewandte Mathematik und Physik, 2022
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Ke Wu, Guangze Gu
openaire   +2 more sources

Normalized solutions to the fractional Kirchhoff equations with a perturbation

Applicable Analysis, 2021
In this paper, we study the following fractional Kirchhoff equation (a+b∫R3|(−Δ)s2u|2dx)(−Δ)su=λu+μ|u|q−2u+|u|p−2uinR3, with a prescribed mass ∫R3|u|2dx=c2, where s∈(34,1), a, b, c>0 ...
Lintao Liu, Haibo Chen, Jie Yang
openaire   +1 more source

On a fractional Kirchhoff-type equation via Krasnoselskii’s genus

Asymptotic Analysis, 2015
In this paper we study a highly nonlocal problem involving a fractional operator combined with a Kirchhoff-type coefficient. The latter is allowed to vanish at the origin (degenerate case). Precisely, we consider the following nonlocal problem − M ( ∥ u ∥ X 0 2 ) L K u = f ( x , u ) ( ∫ Ω ( ∫ 0 u ( x ) f ( x , τ ) d τ ) d x ) r in  Ω , u = 0 in  R n ...
Giovany M. Figueiredo, Giovanni Molica Bisci, Raffaella Servadei   +2 more
openaire   +3 more sources

Liouville-type Theorem for Fractional Kirchhoff Equations with Weights

Bulletin of the Iranian Mathematical Society, 2020
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Anh Tuan Duong, Duc Hiep Pham
openaire   +2 more sources

High perturbations of critical fractional Kirchhoff equations with logarithmic nonlinearity

Applied Mathematics Letters, 2021
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Sihua Liang, Hongling Pu, Vicentiu D. Radulescu   +2 more
openaire   +2 more sources

Infinitely Many Solutions for Fractional p-Kirchhoff Equations

Mediterranean Journal of Mathematics, 2018
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Libo Yang, Tianqing An
openaire   +1 more source

Fractional Kirchhoff equation with critical exponential nonlinearity

Complex Variables and Elliptic Equations, 2016
We study the existence of weak solutions for fractional elliptic equations of the type,where is continuous and h is a real-valued function that behaves like as . Here is the fractional Laplacian operator. We show the existence of mountain-pass solution when the nonlinearity is superlinear near .
J. Giacomoni, Pawan Kumar Mishra, K. Sreenadh   +2 more
openaire   +1 more source

Sign-changing solutions for a fractional Kirchhoff equation

Nonlinear Analysis, 2020
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openaire   +2 more sources