Results 71 to 80 of about 30,910 (222)

Normalized solutions for Kirchhoff-type equations with combined nonlinearities: the $L^2$-critical case

Electronic Journal of Qualitative Theory of Differential Equations
In this paper, we consider the existence of normalized solutions for the following Kirchhoff-type problem: \begin{equation*} -\left (a+b\int_{\mathbb{R}^{N}}|\nabla u|^{2}dx\right)\Delta u=\lambda u+|u|^{p-2}u+\mu |u|^{q-2}u\quad \mbox{in} \ \mathbb{R}^{
Changlin Liu, Ying Lv, Zeng-Qi Ou
doaj   +1 more source

Kirchhoff equations from quasi-analytic to spectral-gap data

, 2010
In a celebrated paper (Tokyo J. Math. 1984) K. Nishihara proved global existence for Kirchhoff equations in a special class of initial data which lies in between analytic functions and Gevrey spaces.
Ghisi, Marina, Gobbino, Massimo
core   +1 more source

Life‐Cycle Assessment of Printed Electronic Components ‐ Case Study for Organic Electrochemical Transistors

Advanced Electronic Materials, EarlyView.
This tutorial introduces a practical framework for implementing early‐stage Life‐Cycle Assessment (LCA) in flexible and printed electronics. Using organic electrochemical transistors (OECTs) as a case study, the modular Process‐of‐Record and open‐access inventory provides a rich resource adaptable to a plethora of technologies in printed electronics ...
Laura Teuerle, Tommy Meier, Klara Hänisch, Finn Jaekel, Yeohoon Yoon, Andreas Wendel, Hans Kleemann   +6 more
wiley   +1 more source

Blow-up and lifespan of solutions for elastic membrane equation with distributed delay and logarithmic nonlinearity

Boundary Value Problems
We examine a Kirchhoff-type equation with nonlinear viscoelastic properties, characterized by distributed delay, logarithmic nonlinearity, and Balakrishnan–Taylor damping terms (elastic membrane equation).
Salah Boulaaras, Rashid Jan, Abdelbaki Choucha, Aderrahmane Zaraï, Mourad Benzahi   +4 more
doaj   +1 more source

Multiple critical points for a class of nonlinear functionals

, 2010
In this paper we prove a multiplicity result concerning the critical points of a class of functionals involving local and nonlocal nonlinearities. We apply our result to the nonlinear Schrodinger-Maxwell system and to the nonlinear elliptic Kirchhoff ...
Azzollini, Antonio, d'Avenia, Pietro, Pomponio, Alessio   +2 more
core   +1 more source

Terahertz Channel Modeling, Estimation and Localization in RIS‐Assisted Systems

Advanced Electronic Materials, EarlyView.
Reconfigurable intelligent surfaces have become a recent intensive research focus. Based on practical applications, channel strategies for RIS‐assisted terahertz wireless communication systems are categorized into three different types: channel modeling, channel estimation, and channel localization.
Hongjing Wang, Weipeng Wang, Xuan Cong, Shiyu Wang, Gao Li, Sen Gong, Lin Huang, Hongxin Zeng, Yaxin Zhang, Ziqiang Yang   +9 more
wiley   +1 more source

Triple Solutions for Nonlinear μ1·,μ2·—Laplacian–Schrödinger–Kirchhoff Type Equations

Journal of Function Spaces
In this manuscript, we study a μ1·,μ2·—Laplacian–Schrödinger–Kirchhoff equation involving a continuous positive potential that satisfies del Pino–Felmer type conditions: K1∫ℝN1/μ1z∇ψμ1z dz+∫ℝN1/μ1zVzψμ1z dz−Δμ1·ψ+Vzψμ1z−2ψ+K2∫ℝN1/μ2z∇ψμ2z dz+∫ℝN1 ...
Ahmed AHMED, Moussa Ahmed Salem ATIGH, Mohamed Saad Bouh ELEMINE VALL   +2 more
doaj   +1 more source

General decay for weak viscoelastic equation of Kirchhoff type containing Balakrishnan–Taylor damping with nonlinear delay and acoustic boundary conditions

Boundary Value Problems, 2022
In this paper, we consider the general decay of solutions for the weak viscoelastic equation of Kirchhoff type containing Balakrishnan–Taylor damping with nonlinear delay and acoustic boundary conditions. By using suitable energy and Lyapunov functionals,
Min Yoon, Mi Jin Lee, Jum-Ran Kang
doaj   +1 more source

Eigenvalue problems for \(p(x)\)-Kirchhoff type equations

Electronic Journal of Differential Equations, 2013
Summary: In this article, we study the nonlocal \(p(x)\)-Laplacian problem \[ \begin{aligned} -M\Big(\int_{\Omega}\frac{1}{p(x)}|\nabla u|^{p(x)}dx\Big) \text{div}(|\nabla u|^{p(x)-2}\nabla u)&= \lambda| u|^{q(x)-2}u \quad \text{ in } \Omega,\\ u&=0 \quad \text{on } \partial\Omega, \end{aligned} \] By means of variational methods and the theory of the ...
Ghasem A. Afrouzi, Maryam Mirzapour
openaire   +2 more sources

RRAM Variability Harvesting for CIM‐Integrated TRNG

Advanced Electronic Materials, EarlyView.
This work demonstrates a compute‐in‐memory‐compatible true random number generator that harvests intrinsic cycle‐to‐cycle variability from a 1T1R RRAM array. Parallel entropy extraction enables high‐throughput bit generation without dedicated circuits. This approach achieves NIST‐compliant randomness and low per‐bit energy, offering a scalable hardware
Ankit Bende, Gokulnath Rajendran, Regina Dittmann, Anupam Chattopadhyay, Vikas Rana   +4 more
wiley   +1 more source