Results 61 to 70 of about 9,803,245 (284)

INFINITELY MANY SOLUTIONS FOR FRACTIONAL SCHRÖDINGER-MAXWELL EQUATIONS

Journal of Applied Analysis & Computation, 2019
Summary: In this paper using fountain theorems we study the existence of infinitely many solutions for fractional Schrödinger-Maxwell equations \[ \begin{cases} (-\Delta)^\alpha u+\lambda V(x)u+\phi u=f(x,u)-\mu g(x)|u|^{q-2}u, \text{in } \mathbb R^3, \\ (-\Delta)^\alpha \phi=K_\alpha u^2, \text{in } \mathbb{R}^3, \end{cases} \] where \(\lambda,\mu >0\)
Xu, Jiafa, Wei, Zhongli, O'Regan, Donal, Cui, Yujun   +3 more
openaire   +1 more source

Symmetry‐Guided Multifunctional Acoustic System Based on Mechanically Actuated Sonic Crystals

Advanced Engineering Materials, EarlyView.
This study presents the design, simulation, and experimental validation of amultifunctional acoustic metamaterial based on rotationally engineered sonic crystals.By tuning cylinder orientations, controllable band gaps and six distinct functionalities—including switching, topological insulation, beam splitting, and logic operations—areachieved ...
Yuanyan Zhao, Sriram Subramanian, Gianluca Memoli   +2 more
wiley   +1 more source

Triple Junctions as Dislocation‐Like Defects: The Role of Grain Boundary Crystallography Revealed by Experiment and Atomistic Simulation

Advanced Engineering Materials, EarlyView.
Grain boundary triple junctions are an essential ingredient of the microstructure of polycrystalline materials. In this study, a triple junction is observed using atomic‐resolution scanning transmission electron microscopy and characterized. Computer simulations reveal that the junction has a dislocation character that is determined by the joining ...
Tobias Brink, Saba Saood, Peter Schweizer, Jörg Neugebauer, Gerhard Dehm   +4 more
wiley   +1 more source

Infinitely many solutions for fractional Laplace equations with subcritical nonlinearity

, 2013
In this paper we discuss the existence of infinitely many solutions for a nonlocal, nonlinear equation with homogeneous Dirichlet boundary data. Adapting the classical variational techniques used in order to study the standard Laplace equation with ...
Raffaella Servadei, SERVADEI, RAFFAELLA
core   +1 more source

Infinitely Many Solutions for Discrete Boundary Value Problems with the p,q-Laplacian Operator

, 2021
In this paper, we consider the existence and multiplicity of solutions for a discrete Dirichlet boundary value problem involving the p,q-Laplacian.
Zhan Zhou, Zhuomin Zhang
core   +1 more source

Design of a Multistable Finger Prosthesis with Programmable Metamaterials

Advanced Engineering Materials, EarlyView.
This research article shows the development of a multistable programmble metamaterial for the use as a finger prosthesis. The material was designed on different hierarchical levels where the influence of geometrical parameters and combination of mechanical elements was explored.
Franziska Wenz, Jannik Krohn, Alexander Leichner, Dilip Challisery, Heiko Andrae, Chris Eberl   +5 more
wiley   +1 more source

Historical Foundation and Practical Guideline for Ferroelectric Switching Kinetic Studies

Advanced Functional Materials, EarlyView.
The P and U pulses in the conventional PUND measurements are not identical because of the interplay between switching current and the measurement circuit components. This circuit effect can lead to a shift in polarization transients and misinterpreted physics in the switching kinetics.
Yi Liang, Pat Kezer, John T. Heron
wiley   +1 more source

Operando Tracking of Oxygen‐Vacancy Dynamics and Negative Capacitance in Ca‐Doped BiFeO3

Advanced Functional Materials, EarlyView.
Operando electrochemical impedance spectroscopy, combined with electrocoloration, enables a direct correlation between real‐space ionic redistribution and the corresponding frequency‐domain electrical response. In lateral Ca‐doped BiFeO3 devices, time‐resolved impedance snapshots capture the evolution from bulk‐dominated mixed conduction to an ...
Jeonghun Suh, Heung‐Sik Park, Jong‐Sook Lee, Chan‐Ho Yang   +3 more
wiley   +1 more source

Infinitely Many Homoclinic Solutions for Fourth Order p-Laplacian Differential Equations

Mathematics, 2020
The existence of infinitely many homoclinic solutions for the fourth-order differential equation φ p u ″ t ″ + w φ p u ′ t ′ + V ( t ) φ p u t = a ( t ) f ( t , u ( t ) ) , t ∈ R is studied in the paper ...
Stepan Tersian
doaj   +1 more source

Infinitely Many Normalized Solutions for a Quasilinear Schrödinger Equation

The Journal of Geometric Analysis
In this paper, we are concerned with a quasilinear Schrodinger equation with well-known Berestycki--Lions nonliearity. The existence of infinitely many normalized solutions is obtained via a minimax argument.
Yang, Xianyong, Zhao, Fukun
openaire   +3 more sources