Results 61 to 70 of about 4,205,835 (294)

On the Strong Maximum Principle for Fully Nonlinear Degenerate Elliptic Equations

, 1999
We prove a strong maximum principle for semicontinuous viscosity subsolutions or supersolutions of fully nonlinear degenerate elliptic PDE's, which complements the results of [17]. Our assumptions and conclusions are different from those in [17], in
Francesca Da Lio, BARDI, MARTINO, DA LIO, Martino Bardi, F.   +4 more
core   +1 more source

Maximum Principle and generalized principal eigenvalue for degenerate elliptic operators [PDF]

, 2015
We characterize the validity of the Maximum Principle in bounded domains for fully nonlinear degenerate elliptic operators in terms of the sign of a suitably defined generalized principal eigenvalue.
CAPUZZO DOLCETTA, Italo, Capuzzo Dolcetta, I, L. Rossi, Berestycki, Henri, Henri Berestycki, H. Berestycki, Luca Rossi D, Dolcetta Alessio Porretta, A. Porretta, Porretta, Alessio, Roma Italy, Dolcetta, Italo Capuzzo, Porretta, A, Rossi, L., ROSSI, LUCA, Rossi, L, Italo Capuzzo, Berestycki, H   +17 more
core   +1 more source

Grayscale Photomasks Enable Noncontact Optical Patterning of Hydroxypropyl Cellulose Gels for Dynamic Art

Advanced Functional Materials, EarlyView.
Mask‐encoded UV exposure translates digital color information into pixel‐resolved structural‐color patterns in hydroxypropyl cellulose gels. Gaussian‐process‐guided calibration links UV processing conditions, wavelength, and mask opacity, enabling parallel fabrication of multicolor images in a single 10 s exposure.
Mengting Ye, Yunyi Zhu, Sai Sabareesh KS, Md Ashiqur Rahman Alif, Yichen Wan, Ruobing Bai, Narges Pourjafarian, Stefanie Mueller, Hongli Zhu   +8 more
wiley   +1 more source

A Signed Maximum Principle for Boundary Value Problems for Riemann–Liouville Fractional Differential Equations with Analogues of Neumann or Periodic Boundary Conditions

Mathematics
Sufficient conditions are obtained for a signed maximum principle for boundary value problems for Riemann–Liouville fractional differential equations with analogues of Neumann or periodic boundary conditions in neighborhoods of simple eigenvalues.
Paul W. Eloe, Yulong Li, Jeffrey T. Neugebauer   +2 more
doaj   +1 more source

Lone‐Pair‐Induced Lattice Distortion in Lead‐Free Hybrid Perovskites for High‐Performance Nanogenerators

Advanced Functional Materials, EarlyView.
A lead‐free tin‐based hybrid perovskite is designed in which stereochemically active lone‐pair electrons on tin distort the crystal lattice and break its symmetry. Blended into a flexible polymer, the material converts pressure into electricity at milliwatt‐scale power density and continues working far below freezing, powering a commercial wristwatch ...
Majid Haji Bagheri, Asif Abdullah Khan, Md Fahim Al Fattah, Mahmoud Almadhoun, Shamaila Shahzadi, Aixi Pan, Md Soyaeb Hasan, Henry Wu, Arash Aghigh, Bhawna Bhawna, François Légaré, Vivek Maheshwari, Dayan Ban   +12 more
wiley   +1 more source

Maximum principle and existence results for nonlinear cooperative systems on a bounded domain

Electronic Journal of Differential Equations, 2011
In this work we give necessary and sufficient conditions for having a maximum principle for cooperative elliptic systems involving p-Laplacian operator on a bounded domain.
Liamidi Leadi, Aboubacar Marcos
doaj  

Molecularly Dissipative Liquid Crystal Elastomer Foams for Impact and Vibration Attenuation

Advanced Functional Materials, EarlyView.
Liquid crystal elastomer foams integrate cellular deformation with mesogen reorientation to create a dual‐scale energy dissipation mechanism. Progressive pore collapse absorbs mechanical loads, while stress‐induced mesogen reorientation provides additional damping, resulting in reduced impact transmission and broadband suppression of vibrational ...
Subi Choi, Sangyeop Lee, In‐sun Jeong, Kyungjun Song, Eugene M. Terentjev, Suk‐kyun Ahn   +5 more
wiley   +1 more source

Bounded solutions of nonlinear parabolic equations

Electronic Journal of Differential Equations, 2010
We are concerned with bounded solutions existing for all times for nonlinear parabolic equations with possibly nonlinear boundary conditions. A counterexample shows that, without an additional condition, a (weak) maximum principle does not hold for ...
Nsoki Mavinga, Mubenga N. Nkashama
doaj  

Defect‐Mediated Inelastic Light Scattering by Infrared Phonons in Hexagonal Boron Nitride

Advanced Functional Materials, EarlyView.
Optically active defects in hexagonal boron nitride enable inelastic stimulated light scattering mediated by infrared‐active phonons, relaxing conventional Raman selection rules. Defect engineering enhances the Stokes‐conversion process and activates both TO‐ and LO‐phonon scattering channels.
Prabhdeep Singh, Bharti Garg, Maximilian Black, Masoud Taleb, Nahid Talebi   +4 more
wiley   +1 more source

Monotone Iterative Technique for a Kind of Nonlinear Fourth-Order Integro-Differential Equations and Its Application

Advances in Mathematical Physics
In this paper, we consider the existence and iterative approximation of solutions for a class of nonlinear fourth-order integro-differential equations (IDEs) with Navier boundary conditions.
Yan Wang, Jinxiang Wang, Xiaobin Yao
doaj   +1 more source