Results 51 to 60 of about 30,910 (222)

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
doaj   +1 more source

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
doaj   +1 more source

Thermally Engineered Sodium‐Embedded Alumina with Programmable Synaptic Plasticity for Neuromorphic Transistors

Advanced Functional Materials, EarlyView.
A fully transparent, all‐metal‐oxide neuromorphic transistor using a sodium‐embedded alumina (SEA) electrolyte is demonstrated. By precisely tuning the thermal annealing process, the chemical composition of the SEA layer is controlled, allowing for the deterministic realization of both short‐term and long‐term synaptic plasticity within the same device
Yonghyun Albert Kwon, Jaeyeon Kim, Dong Yeon Won, Saeyoun Park, Youngjae Yoo, Seongchan Kim, Dong‐Hwan Kim, Jeong Ho Cho   +7 more
wiley   +1 more source

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
doaj   +1 more source

Nonlocal Kirchhoff superlinear equations with indefinite nonlinearity and lack of compactness

, 2019
We study the following Kirchhoff equation $$- \left(1 + b \int_{\mathbb{R}^3} |\nabla u|^2 dx \right) \Delta u + V(x) u = f(x,u), \ x \in \mathbb{R}^3.$$ A special feature of this paper is that the nonlinearity $f$ and the potential $V$ are indefinite ...
Li, Lin, Repovš, Dušan D., Rădulescu, Vicenţiu D.   +2 more
core   +2 more sources

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
doaj   +1 more source

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

The Lax–Mizohata Theorem for Kirchhoff-Type Equations

Journal of Differential Equations, 2001
The paper deals with the necessity of the hyperbolicity to the Cauchy problem for two types of Kirchhoff equations (abstract Kirchhoff equations and Kirchhoff equations in the classes of real analytic functions) to be locally well-posed. To this end the author uses the gauge invariance of the Kirchhoff-type equations and also some ideas from the ...
openaire   +2 more sources

Neuromorphic Electronics for Intelligence Everywhere: Emerging Devices, Flexible Platforms, and Scalable System Architectures

Advanced Materials, EarlyView.
The perspective presents an integrated view of neuromorphic technologies, from device physics to real‐time applicability, while highlighting the necessity of full‐stack co‐optimization. By outlining practical hardware‐level strategies to exploit device behavior and mitigate non‐idealities, it shows pathways for building efficient, scalable, and ...
Kapil Bhardwaj, Roshni Satheesh Babu, Yuxin Xia, Eva Bestelink, Radu Sporea, Nikos Hastas, Ioannis Zeimpekis, Dimitra G. Georgiadou, Sayani Majumdar   +8 more
wiley   +1 more source