Results 41 to 50 of about 26,442 (220)
Existence results of positive solutions for Kirchhoff type equations via bifurcation methods
, 2017 In this paper we address the following Kirchhoff type problem \begin{equation*} \left\{ \begin{array}{ll} -\Delta(g(|\nabla u|_2^2) u + u^r) = a u + b u^p& \mbox{in}~\Omega, u>0& \mbox{in}~\Omega, u= 0& \mbox{on}~\partial\Omega, \end{array} \right.
Cintra, Willian +3 more
core +1 more source
Advanced Engineering Materials, EarlyView.Phase‐field simulations coupled with dislocation‐density‐based crystal plasticity modeling reproduce γ′ rafting behavior in single‐crystal Ni‐based superalloys under varied loading conditions. The model captures both macroscopic creep and microscopic morphology evolution, with results matching high‐temperature creep experiments.
Micheal Younan +5 more
wiley +1 more source
Multiplicity of Solutions for a Modified Schrödinger-Kirchhoff-Type Equation in RN
Discrete Dynamics in Nature and Society, 2015 We study the existence of infinitely many solutions for a class of modified Schrödinger-Kirchhoff-type equations by the dual method and the nonsmooth critical point theory.
Xiumei He
doaj +1 more source
Multiple Solutions to a Non-Local Problem of Schrödinger–Kirchhoff Type in ℝN
Fractal and Fractional, 2023 The main purpose of this paper is to show the existence of a sequence of infinitely many small energy solutions to the nonlinear elliptic equations of Kirchhoff–Schrödinger type involving the fractional p-Laplacian by employing the dual fountain theorem ...
In Hyoun Kim, Yun-Ho Kim, Kisoeb Park
doaj +1 more source
Dynamics of nonlinear hyperbolic equations of Kirchhoff type
Calculus of Variations and Partial Differential Equations, 2022 In this paper, we study the initial boundary value problem of the important hyperbolic Kirchhoff equation $$u_{tt}-\left(a \int_ |\nabla u|^2 \dif x +b\right) u = u+ |u|^{p-1}u ,$$ where $a$, $b>0$, $p>1$, $ \in \mathbb{R}$ and the initial energy is arbitrarily large.
Chen, Jianyi +3 more
openaire +3 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 Attractors of the Extensible Plate Equations with Nonlinear Damping and Memory
Journal of Function Spaces, 2017 We prove in this paper the existence of a global attractor for the plate equations of Kirchhoff type with nonlinear damping and memory using the contraction function method.
Xiaobin Yao, Qiaozhen Ma
doaj +1 more source
Journal of Function Spaces, 2021 In this paper, the variable-order fractional Laplacian equations with variable exponents and the Kirchhoff-type problem driven by p·-fractional Laplace with variable exponents were studied.
Yating Guo, Guoju Ye
doaj +1 more source
Nonintegrability of an extensible conducting rod in a uniform magnetic field
, 2011 The equilibrium equations for an isotropic Kirchhoff rod are known to be completely integrable. It is also known that neither the effects of extensibility and shearability nor the effects of a uniform magnetic field individually break integrability. Here
van der Heijden, G. H. M., Yagasaki, K.
core +1 more source
Advanced Functional Materials, EarlyView.An all‐in‐one analog AI accelerator is presented, enabling on‐chip training, weight retention, and long‐term inference acceleration. It leverages a BEOL‐integrated CMO/HfOx ReRAM array with low‐voltage operation (<1.5 V), multi‐bit capability over 32 states, low programming noise (10 nS), and near‐ideal weight transfer.
Donato Francesco Falcone +11 more
wiley +1 more source