Results 71 to 80 of about 428,921 (359)

Continuous dependence estimates for viscosity solutions of fully nonlinear degenerate elliptic equations

Electronic Journal of Differential Equations, 2002
Using the maximum principle for semicontinuous functions [3,4], we prove a general ``continuous dependence on the nonlinearities'' estimate for bounded Holder continuous viscosity solutions of fully nonlinear degenerate elliptic equations.
Espen R. Jakobsen, Kenneth H. Karlsen
doaj  

Maximum principles for viscosity solutions of weakly elliptic equations

Bruno Pini Mathematical Analysis Seminar, 2019
Maximum principles play an important role in the theory of elliptic equations. In the last decades there have been many contributions related to the development of fully nonlinear equations and viscosity solutions.
Antonio Vitolo
doaj   +1 more source

Femtosecond‐Laser‐Fabricated 3D CYTOP Microfluidic Chips Enabling Super‐Resolution Live Imaging of Cell Behavior in Confined Microspaces

Advanced Materials Technologies, EarlyView.
Using two‐photon polymerization of SU‐8 together with mold processing allowed the creation of defect‐free, flexible 3D microfluidic structures with sub‐micrometer precision in CYTOP. The fabricated CYTOP microfluidic chips enabled super‐resolution imaging of cancer cells in the microchannels, clearly visualizing previously undetectable fine structural ...
Koji Sugioka, Mirai Hanzawa, Kotaro Obata, Sota Matsumoto, Masatoshi Takagi, Asako Sakaue‐Sawano, Asako Tosaki, Satoshi Shimozono, Felix Sima, Hiroyuki Kawano, Takuro Tojima, Daisuke Miyashiro, Kazunari Ozasa, Yasutaka Hanada, Godai Miyaji, Akihiko Nakano, Atsushi Miyawaki   +16 more
wiley   +1 more source

survey on boundary regularity for the fractional p-Laplacian and its applications

Bruno Pini Mathematical Analysis Seminar
We survey some recent regularity results for fractional p-Laplacian elliptic equations, especially focusing on pure and weighted boundary Hölder continuity of the solutions of related Dirichlet problems. Then, we present some applications of such results
Antonio Iannizzotto
doaj   +1 more source

Dynamical Behavior and the Classification of Single Traveling Wave Solutions for the Coupled Nonlinear Schrödinger Equations with Variable Coefficients

Advances in Mathematical Physics, 2021
In this paper, the dynamical properties and the classification of single traveling wave solutions of the coupled nonlinear Schrödinger equations with variable coefficients are investigated by utilizing the bifurcation theory and the complete ...
Zhao Li, Peng Li, Tianyong Han
doaj   +1 more source

Efficient Broadband Terahertz Generation by Above‐Band‐Gap Excitation of the Pyroelectric ZnSnN2

Advanced Optical Materials, EarlyView.
Photo‐induced THz emission from the pyroelectric semiconductor ZnSnN2 is studied. For above‐band‐gap excitation, an ultrabroadband THz pulse is generated covering the range from 1 to 30 THz without any spectral gaps. The THz‐generation efficiency is about three orders of magnitude higher than that from a standard THz source like ZnTe with a similar ...
Tom S. Seifert, Hannes Hempel, Oliver Gueckstock, Robert Schneider, Quentin Remy, Angela N. Fioretti, Thomas Unold, Steffen Michaelis de Vasconcellos, Rudolf Bratschitsch, Rainer Eichberger, Kathrin Dörr, Andriy Zakutayev, Tobias Kampfrath   +12 more
wiley   +1 more source

Inverse Design in Nanophotonics via Representation Learning

Advanced Optical Materials, EarlyView.
This review frames machine learning (ML) in nanophotonics through a classification based on where ML is applied. We categorize methods as either output‐side, which create differentiable surrogates for solving Maxwell's partial differential equations (PDEs), or input‐side, which learn compact representations of device geometry.
Reza Marzban, Ali Adibi, Raphaël Pestourie   +2 more
wiley   +1 more source

Generalization of the algebraic method of group classification with application to nonlinear wave and elliptic equations [PDF]

, 2020
Olena Vaneeva, Alexander Bihlo, Roman O. Popovych   +2 more
openalex   +1 more source

Hard‐Magnetic Soft Millirobots in Underactuated Systems

Advanced Robotics Research, EarlyView.
This review provides a comprehensive overview of hard‐magnetic soft millirobots in underactuated systems. It examines key advances in structural design, physics‐informed modeling, and control strategies, while highlighting the interplay among these domains.
Qiong Wang, Zixuan Zhang, Bingyan Li, Junkai Wang, Hongcheng Gu   +4 more
wiley   +1 more source

Principal eigenvalues of fully nonlinear integro-differential elliptic equations with a drift term [PDF]

, 2020
Alexander Quaas, Ariel Salort, Aliang Xia   +2 more
openalex   +1 more source