Results 51 to 60 of about 488,781 (331)

Remorphable Architectures: Reprogramming Global Bistability through Locally Bistable Metamaterials

open access: yesAdvanced Materials, EarlyView.
Local bistable reconfiguration in mechanical metamaterials is leveraged in globally bistable architectures to enable in situ reprogrammable transition pathways through state flip of individual building blocks. The local‐to‐global correspondence of instabilities empowers soft robotic systems with on‐demand morphing traits, as well as aerospace ...
Lei Wu   +3 more
wiley   +1 more source

Existence of at least one nontrivial solution for a class of problems involving both p(x)-Laplacian and p(x)-Biharmonic

open access: yesپژوهش‌های ریاضی, 2022
We investigate the existence of a weak nontrivial solution for the following problem. Our analysis is generally bathed on discussions of variational based on the Mountain Pass theorem and some recent theories one the generalized Lebesgue-Sobolev space ...
Atieh Ramzannia Jalali   +1 more
doaj  

Multiple nonradial solutions for a nonlinear elliptic problem with singular and decaying radial potential

open access: yes, 2017
Many existence and nonexistence results are known for nonnegative radial solutions $u\in D^{1,2}(\mathbb{R}^{N})\cap L^{2}(\mathbb{R}^{N},\left|x\right| ^{-\alpha }dx)$ to the equation \[ -\triangle u+\dfrac{A}{\left| x\right| ^{\alpha }}u=f\left( u ...
Rolando, Sergio
core   +1 more source

End‐to‐End Sensing Systems for Breast Cancer: From Wearables for Early Detection to Lab‐Based Diagnosis Chips

open access: yesAdvanced Materials Technologies, EarlyView.
This review explores advances in wearable and lab‐on‐chip technologies for breast cancer detection. Covering tactile, thermal, ultrasound, microwave, electrical impedance tomography, electrochemical, microelectromechanical, and optical systems, it highlights innovations in flexible electronics, nanomaterials, and machine learning.
Neshika Wijewardhane   +4 more
wiley   +1 more source

The existence and multiplicity of L 2-normalized solutions to nonlinear Schrödinger equations with variable coefficients

open access: yesAdvanced Nonlinear Studies
The existence of L 2–normalized solutions is studied for the equation −Δu+μu=f(x,u)  inRN,∫RNu2dx=m. $-{\Delta}u+\mu u=f\left(x,u\right)\quad \quad \text{in} {\mathbf{R}}^{N},\quad {\int }_{{\mathbf{R}}^{N}}{u}^{2} \mathrm{d}x=m.$ Here m > 0 and f(x, s)
Ikoma Norihisa, Yamanobe Mizuki
doaj   +1 more source

Existence and Multiplicity of Fast Homoclinic Solutions for a Class of Nonlinear Second-Order Nonautonomous Systems in a Weighted Sobolev Space

open access: yesJournal of Function Spaces, 2015
This paper is concerned with the following nonlinear second-order nonautonomous problem: ü(t)+q(t)u̇(t)-∇K(t,u(t))+∇W(t,u(t))=0, where t∈R, u∈RN, and K, W∈C1(R×RN,R) are not periodic in t and q:R→R is a continuous function and Q(t)=∫0t‍q(s)ds with lim|t|
Qiongfen Zhang, Yuan Li
doaj   +1 more source

Schrödinger-Poisson system without growth and the Ambrosetti-Rabinowitz conditions

open access: yesAIMS Mathematics, 2020
We consider the following Schrödinger-Poisson system $$\left\{ \begin{array}{l}{\rm{ - }}\Delta u + V\left(x \right)u + \phi u = \lambda f\left(u \right)\; \; \; \; \; {\rm{in}}\; {\mathbb{R}^3}, \\ - \Delta \phi = {u^2}, \mathop {\lim }\limits_{|x| \to +
Chen Huang, Gao Jia
doaj   +1 more source

Mapping of Physiological Signals From Wireless Battery‐Free Implants With Plane‐Wave Ultrasound Imaging

open access: yesAdvanced Materials Technologies, EarlyView.
Combined approach of electromagnetic (Power) and ultrasound (data harvesting) waves is proposed to address the miniaturized ultrasonic implants. Electromagnetic waves trigger the piezoelectric element to generate the acoustic pulse which is modulated by the variations in the sensor's impedance.
Anam Bhatti   +6 more
wiley   +1 more source

Ground state solutions for a class of generalized quasilinear Schrödinger–Poisson systems

open access: yesBoundary Value Problems, 2018
This paper is concerned with the existence of ground state solutions for a class of generalized quasilinear Schrödinger–Poisson systems in R3 $\mathbb {R}^{3}$ which have appeared in plasma physics, as well as in the description of high-power ultrashort ...
Liejun Shen
doaj   +1 more source

Nonlocal Kirchhoff superlinear equations with indefinite nonlinearity and lack of compactness

open access: yes, 2019
We study the following Kirchhoff equation $$- \left(1 + b \int_{\mathbb{R}^3} |\nabla u|^2 dx \right) \Delta u + V(x) u = f(x,u), \ x \in \mathbb{R}^3.$$ A special feature of this paper is that the nonlinearity $f$ and the potential $V$ are indefinite ...
Li, Lin   +2 more
core   +2 more sources

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