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Non-linearity, complexity, and quantization concepts in biology. [PDF]

Front Hum Neurosci
Theise ND, Tuszynski JA.
europepmc   +1 more source

Application of Machine Learning Models in Predicting Vibration Frequencies of Thin Variable Thickness Plates. [PDF]

Materials (Basel)
Domagalski Ł, Kowalczyk I.
europepmc   +1 more source

Exact Analytical Solutions for Static Response of Helical Single-Walled Carbon Nanotubes Using Nonlocal Euler-Bernoulli Beam Theory. [PDF]

Nanomaterials (Basel)
Dalgıç AM, Tüfekci M, Pir İ, Tüfekci E.   +3 more
europepmc   +1 more source

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Multiple Solutions for a Kirchhoff-Type Equation

Mediterranean Journal of Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pei, Ruichang, Ma, Caochuan
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Critical Kirchhoff-type equation with singular potential

Topological Methods in Nonlinear Analysis, 2023
In this paper, we deal with the following Kirchhoff-type equation: \begin{equation*} -\bigg(1 +\int_{\mathbb{R}^{3}}|\nabla u|^{2}dx\bigg) \Delta u +\frac{A}{|x|^{\alpha}}u =f(u),\quad x\in\mathbb{R}^{3}, \end{equation*} where $A> 0$ is a real parameter and $\alpha\in(0,1)\cup ({4}/{3},2)$.
Yu Su, Senli Liu
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Critical nonhomogeneous fourth-order Schrödinger–Kirchhoff-type equations

Journal of Elliptic and Parabolic Equations, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Infinitely Many Solutions for Kirchhoff-Type Equations Involving Degenerate Operator

Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, J., Li, L., Chen, Sh.
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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 ...
FIGUEIREDO G. M, MOLICA BISCI G, SERVADEI, RAFFAELLA   +2 more
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Groundstates for Kirchhoff-Type Equations with Hartree-Type Nonlinearities

Results in Mathematics, 2019
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Li, Yan, Li, Xinfu, Ma, Shiwang
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