Results 31 to 40 of about 347 (175)

Multiplicity of solutions of Kirchhoff-type fractional Laplacian problems with critical and singular nonlinearities

Electronic Journal of Qualitative Theory of Differential Equations, 2023
In this ariticle, the following Kirchhoff-type fractional Laplacian problem with singular and critical nonlinearities is studied: \begin{equation*} \begin{cases} \left(a+b\|u\|^{2\mu-2}\right)\left(-\Delta\right)^su=\lambda l(x)u^{2_{s}^{*}-1}+h(x)u ...
Qingwei Duan, Lifeng Guo, Binlin Zhang
doaj   +1 more source

Multiple positive solutions to the fractional Kirchhoff problem with critical indefinite nonlinearities

Electronic Journal of Differential Equations, 2020
This article concerns the existence and multiplicity of positive solutions to the fractional Kirchhoff equation with critical indefinite nonlinearities by applying the Nehari manifold approach and fibering maps.
Jie Yang, Haibo Chen, Zhaosheng Feng
doaj  

Existence and Multiplicity of Solutions for Fractional $$\kappa (\xi )$$-Kirchhoff-Type Equation

Qualitative Theory of Dynamical Systems, 2023
In this paper, we aim to tackle the questions of existence and multiplicity of solutions to a new class of $\kappa(\xi)$-Kirchhoff-type equation utilizing a variational approach. Further, we research the results from the theory of variable exponent Sobolev spaces and from the theory of space $\psi$-fractional $\mathcal{H}^{\mu,\nu;\,\psi}_{\kappa(\xi)}(
Sousa, J. Vanterler da C., Kucche, Kishor D., Nieto, Juan J.   +2 more
openaire   +2 more sources

Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading

Advanced Engineering Materials, EarlyView.
The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley   +1 more source

Global solutions for fractional viscoelastic equations with logarithmic nonlinearities

Electronic Journal of Differential Equations, 2020
In this article we study a fractional viscoelastic equation of Kirchhoff type with logarithmic nonlinearities. Under suitable conditions we prove the existence of global solutions and the exponential decay of the energy.
Eugenio Cabanillas Lapa
doaj  

Multiple sign-changing solutions for nonlinear fractional Kirchhoff equations

Boundary Value Problems, 2018
This paper is concerned with the following nonlinear fractional Kirchhoff equation: (a+b∫R3|(−Δ)s2u|2dx)(−Δ)su+V(x)u=f(u),x∈R3, $$\biggl(a+b \int _{\mathbb{R}^{3}} \bigl\vert (-\Delta )^{\frac{s}{2}}u \bigr\vert ^{2}\,dx \biggr) (- \Delta )^{s}u+V(x)u=f ...
Yang Wang, Yansheng Liu, Yujun Cui
doaj   +1 more source

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

Submicron Metasurface Reconfigured Multiband Smart Windows

Advanced Functional Materials, EarlyView.
This work presents a submicron metasurface reconfigured multiband thermochromic smart window. By integrating subwavelength nanostructures into a Fabry−Perot resonator configuration, it mitigates conventional trade‐offs to simultaneously deliver high luminous transmittance and robust solar heating and radiative cooling modulation capabilities ...
Guanya Wang, Shancheng Wang, Bin Li, Xinyi Tian, Rong Liu, Jian Chen, Zhendong Dai, Shouqin Tian, Yi Long   +8 more
wiley   +1 more source

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

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