Results 11 to 20 of about 1,598 (166)

Liouville theorems for Kirchhoff-type parabolic equations and system on the Heisenberg group

Open Mathematics, 2023
In this article, the Liouville theorems for the Kirchhoff-type parabolic equations on the Heisenberg group were established. The main technique for proving the result relies on the method of test functions.
Shi Wei
doaj   +1 more source

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

Ground State Solutions for Kirchhoff Type Quasilinear Equations

Advanced Nonlinear Studies, 2019
In this paper, we are concerned with quasilinear equations of Kirchhoff type, and prove the existence of ground state signed solutions and sign-changing solutions by using the Nehari method.
Liu Xiangqing, Zhao Junfang
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The Existence of a Nontrivial Solution for a -Kirchhoff Type Elliptic Equation in

Abstract and Applied Analysis, 2013
Using Mountain Pass lemma, under some appropriate assumptions, we establish the existence of one nontrivial solution for a class of p-Kirchhoff-type elliptic equations in .
Zonghu Xiu
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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

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
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Infinitely many solutions for the discrete Schrödinger equations with a nonlocal term

Boundary Value Problems, 2022
In the present paper, we consider the following discrete Schrödinger equations − ( a + b ∑ k ∈ Z | Δ u k − 1 | 2 ) Δ 2 u k − 1 + V k u k = f k ( u k ) k ∈ Z , $$ - \biggl(a+b\sum_{k\in \mathbf{Z}} \vert \Delta u_{k-1} \vert ^{2} \biggr) \Delta ^{2} u_{k ...
Qilin Xie, Huafeng Xiao
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Critical Kirchhoff equations involving the -sub-Laplacians operators on the Heisenberg group

Bulletin of Mathematical Sciences, 2023
In this paper, we deal with a class of Kirchhoff-type critical elliptic equations involving the [Formula: see text]-sub-Laplacians operators on the Heisenberg group of the form M(∥DHu∥pp + ∥u∥ p,Vp)[−Δ H,pu + V (ξ)|u|p−2u] = λf(ξ,u) + |u|p∗−2u,ξ ∈ ℍn,u ...
Xueqi Sun, Yueqiang Song, Sihua Liang, Binlin Zhang   +3 more
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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

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