Results 61 to 70 of about 103,768 (331)

Positive Solutions of Elliptic Kirchhoff Equations

Advanced Nonlinear Studies, 2017
We prove several existence results for some nonlinear elliptic Kirchhoff equations.
Ambrosetti Antonio, Arcoya David
doaj   +1 more source

Advanced Design for Weakly Coupled Resonators by Automatic Active Optimization

Advanced Materials Technologies, EarlyView.
An Automatic Active Optimization (AAO) strategy integrates machine learning predictors and genetic algorithms in a closed‐loop workflow. By iteratively expanding its dataset with new discoveries, AAO overcomes the limits of conventional methods. This approach finds superior microstructural designs beyond the initial sample space. We demonstrate this on
Wei Yue, Yuan Gao, Fanping Sui, Jason Wang, Megan Teng, Peggy Tsao, Huicong Deng, Yande Peng, Liwei Lin   +8 more
wiley   +1 more source

Nonlinear elliptic equations with high order singularities [PDF]

, 2016
We study non-variational degenerate elliptic equations with high order singular structures. No boundary data are imposed and singularities occur along an {\it a priori} unknown interior region. We prove that positive solutions have a universal modulus of
Teixeira, Eduardo V.
core  

Printed 2.5D‐Microstructures with Material‐Specific Functionalization for Tunable Biosensing

Advanced Materials Technologies, EarlyView.
The 2.5D‐MiSENSE platform integrates a microstructured biosensor with an in‐line milking pipeline to enable real‐time detection of mastitis biomarkers during active milk flow. The system uses a 2.5D microengineered surface and patterned electrodes to enhance milk–sensor interaction.
Matin Ataei Kachouei, Benjamin Corl, Md. Azahar Ali   +2 more
wiley   +1 more source

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

Nonlinear Elliptic Equations with Singular Terms and Combined Nonlinearities [PDF]

Annales Henri Poincaré, 2011
From the abstract: ``We consider nonlinear elliptic Dirichlet problems with a singular term, a concave (i.e., \((p-1)\)-sublinear) term and a Carathéodory perturbation. We study the cases where the Carathéodory perturbation is \((p-1)\)-linear and \((p-1)\)-superlinear near \(+\infty\).
Gasiński, Leszek, Papageorgiou, Nikolaos S.   +1 more
openaire   +3 more sources

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