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Exact solutions and bifurcation curves of nonlocal elliptic equations with convolutional Kirchhoff functions

Boundary Value Problems
We study the one-dimensional nonlocal elliptic equation of Kirchhoff type with convolutional Kirchhoff functions. We establish the exact solutions u λ $u_{\lambda}$ and bifurcation curves λ ( α ) $\lambda (\alpha )$ , where α : = ∥ u λ ∥ ∞ $\alpha ...
Tetsutaro Shibata
doaj   +1 more source

Powering Nanocrystal‐Based Heat Engines With Light‐Emitting Metasurfaces That Influence Their Temperature

Advanced Functional Materials, EarlyView.
Metasurfaces and other structured photonic environments can dramatically modify the absorption and/or light emission of semiconductors. However, the consequences of these changes on the temperature of the system are not well understood. The authors address this problem for colloidal nanocrystals and leverage their findings to convert light into ...
Hugo Kowalczyk, Yihao Yuan, Augustin Caillas, Amel Saidoun, Roméo Bonnet, Pascal Filloux, Emmanuel Lhuillier, Aloyse Degiron   +7 more
wiley   +1 more source

Asymptotic Behavior of the Kirchhoff Type Stochastic Plate Equation on Unbounded Domains

Complexity, 2022
In this paper, we study the asymptotic behavior of solutions to the Kirchhoff type stochastic plate equation driven by additive noise defined on unbounded domains.
Xiaobin Yao, Zhang Zhang
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Review of Thermally Activated Twisted Coiled Polymer Actuators: A Materials Science Perspective

Advanced Functional Materials, EarlyView.
Thermally activated twisted and coiled polymer actuators (TCPAs) combine lightweight design, large deformation, and scalable fabrication for soft robotic and wearable applications. This review connects polymer structure, processing history, helix geometry, and thermomechanical characterization to actuator performance, highlighting current challenges in
Nadja Schenk, Lukas Benecke, Chokri Cherif, Johannes Mersch   +3 more
wiley   +1 more source

Multiple solutions to the Kirchhoff fractional equation involving Hardy–Littlewood–Sobolev critical exponent

Boundary Value Problems, 2019
In this paper, we study a fractional Kirchhoff type equation with Hardy–Littlewood–Sobolev critical exponent. By using variational methods, we obtain the existence of mountain-pass type solution and negative energy solutions.
Jichao Wang, Jian Zhang, Yujun Cui
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Infinitely many localized semiclassical states for nonlinear Kirchhoff-type equation

Advances in Nonlinear Analysis, 2023
We deal with localized semiclassical states for singularly perturbed Kirchhoff-type equation as follows: −ε2a+εb∫R3∣∇v∣2dxΔv+V(x)v=P(x)f(v),x∈R3,-\left({\varepsilon }^{2}a+\varepsilon b\mathop{\int }\limits_{{{\mathbb{R}}}^{3}}| \nabla v{| }^{2}{\rm{d}}x\
Feng Binhua, Wang Da-Bin, Wu Zhi-Guo
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Topology and Material Optimization in Ultra‐Soft Magneto‐Active Structures: Making Advantage of Residual Anisotropies

Advanced Materials, EarlyView.
Residual magnetization induces pronounced mechanical anisotropy in ultra‐soft magnetorheological elastomers, shaping deformation and actuation even without external magnetic fields. This study introduces a computational‐experimental framework integrating magneto‐mechanical coupling into topology optimization for designing soft magnetic actuators with ...
Carlos Perez‐Garcia, Rogelio Ortigosa, Jesús Martínez‐Frutos, Daniel Garcia‐Gonzalez   +3 more
wiley   +1 more source

Existence of Strictly Positive Solutions for a Kirchhoff-Type Equation with the Dirichlet Boundary on Locally Finite Graphs

Axioms
In this paper, we investigate the existence of multiple solutions for a Kirchhoff-type equation with Dirichlet boundary conditions defined on locally finite graphs.
Yanhong Li, Xingyong Zhang
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Multiplicity results for the Kirchhoff type equation via critical groups

Boundary Value Problems, 2018
In this paper, we will compute critical groups at zero for the Kirchhoff type equation using the property that critical groups are invariant under homotopies preserving isolatedness of critical points.
Zhenting Wang, Mingzheng Sun, Yutong Chen, Leiga Zhao   +3 more
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Least energy sign-changing solutions for a nonlocal anisotropic Kirchhoff type equation

Moroccan Journal of Pure and Applied Analysis, 2022
In this paper, we investigate the existence of sign-changing solutions for the following class of fractional Kirchhoff type equations with potential (1+b[u]α2)((-Δx)αu-Δyu)+V(x,y)u=f(x,y,u),(x,y)∈ℝN=ℝn×ℝm,\left( {1 + b\left[ u \right]_\alpha ^2} \right ...
Rahmani Mohammed, Rahmani Mostafa, Anane Aomar, Massar Mohammed   +3 more
doaj   +1 more source