Results 31 to 40 of about 2,044 (212)

Multiplicity and concentration of solutions for Kirchhoff equations with exponential growth

Bulletin of Mathematical Sciences
In this paper, we deal with fractional [Formula: see text]-Laplace Kirchhoff equations with exponential growth of the form 𝜀ps(a + b[u] s,pp)(−Δ) psu + Z(x)|u|p−2u = h(u)in ℝN, where [Formula: see text] is a positive parameter, [Formula: see text ...
Xueqi Sun, Yongqiang Fu, Sihua Liang
doaj   +1 more source

The Existence of Multiple Solutions for Nonhomogeneous Kirchhoff Type Equations in

Abstract and Applied Analysis, 2013
We are concerned with the existence of multiple solutions to the nonhomogeneous Kirchhoff type equation where are positive constants, , we can find a constant such that for all the equation has at least two radial solutions provided .
Qi Zhang, Xiaoli Zhu
doaj   +1 more source

SOLUCIÓN LOCAL DE UNA ECUACIÓN DE KIRCHHOFF NO LINEAL VISCOELÁSTICA CON TÉRMINO DISIPATIVO

Pesquimat, 2014
In this work, we study the existence and uniqueness of the local solutions to themixed problem for a type of viscoelastic nonlinear Kirchhoff 's equation with dissipativeterm.
Teófanes Quispe Méndez
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

Ground state solutions for a quasilinear Kirchhoff type equation

Electronic Journal of Qualitative Theory of Differential Equations, 2016
We study the ground state solutions of the following quasilinear Kirchhoff type equation \[ -\left(1+b\int_{\mathbb{R}^{3}}|\nabla u|^2dx\right)\Delta u + V(x)u-[\Delta(u^2)]u=|u|^{10}u+\mu |u|^{p-1}u,\qquad x\in \mathbb{R}^3, \] where $b\geq 0$ and $\mu$
Hongliang Liu, Haibo Chen, Qizhen Xiao
doaj   +1 more source

A priori bounds for positive solutions of Kirchhoff type equations [PDF]

Computers & Mathematics with Applications, 2018
This paper gives a priori estimates for the positve solutions of Kirchhoff type equation without variational structure.
Qiuyi Dai, Enhao Lan, Feilin Shi
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

Existence and multiplicity of entire solutions for fractional p-Kirchhoff equations

Advances in Nonlinear Analysis, 2016
The purpose of this paper is mainly to investigate the existence of entire solutions of the stationary Kirchhoff type equations driven by the fractional p-Laplacian operator in ℝN.
Pucci Patrizia, Xiang Mingqi, Zhang Binlin   +2 more
doaj   +1 more source

Scattering for a Quasilinear Hyperbolic Equation of Kirchhoff Type

Journal of Differential Equations, 1998
The global solvability and the existence of the scattering operator for the quasilinear hyperbolic Kirchhoff type equation \[ {\partial^2 u\over \partial t^2}= m\bigl( \| \nabla u\|^2 \bigr)^2 \Delta u\quad \text{in} \quad \mathbb{R}^n_x \times \mathbb{R}_t \tag{1} \] \[ u(x,0) =\varphi_0 (x),\quad {\partial u\over \partial t} (x,0)= \psi_0 (x) \tag{2}
openaire   +1 more source

All‐in‐One Analog AI Hardware: On‐Chip Training and Inference with Conductive‐Metal‐Oxide/HfOx ReRAM Devices

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, Victoria Clerico, Wooseok Choi, Tommaso Stecconi, Folkert Horst, Laura Bégon‐Lours, Matteo Galetta, Antonio La Porta, Nikhil Garg, Fabien Alibart, Bert Jan Offrein, Valeria Bragaglia   +11 more
wiley   +1 more source