Results 71 to 80 of about 211,517 (279)

The Simplest Equation Method and Its Application for Solving the Nonlinear NLSE, KGZ, GDS, DS, and GZ Equations

Journal of Applied Mathematics, 2013
A good idea of finding the exact solutions of the nonlinear evolution equations is introduced. The idea is that the exact solutions of the elliptic-like equations are derived using the simplest equation method and the modified simplest equation method ...
Yun-Mei Zhao, Ying-Hui He, Yao Long
doaj   +1 more source

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

Amyloidogenic Peptide Fragments Designed From Bacterial Collagen‐like Proteins Form Hydrogel

Advanced Functional Materials, EarlyView.
This study identified amyloidogenic sequence motifs in bacterial collagen‐like proteins and exploited these to design peptides that self‐assemble into β‐sheet fibers and form hydrogels. One hydrogel supported healthy fibroblast growth, showing promise for biocompatible materials. Our work demonstrates that bacterial sequences can be harnessed to create
Vamika Sagar, Xuen J Ng, Lukas Lechel, Ashish Chand Rajwar, Hendrik Bargel, Abhishek A. Jalan   +5 more
wiley   +1 more source

Regularity estimates up to the boundary for elliptic systems of difference equations [PDF]

Regularity estimates up to the boundary for solutions of elliptic systems of finite difference equations were proved. The regularity estimates, obtained for boundary fitted coordinate systems on domains with smooth boundary, involve discrete Sobolev ...
Bube, K. P., Strikwerda, J. C., Wade, B. A.   +2 more
core   +1 more source

Ultrasmall Platinum Nanoparticles for Radiation‐Enhanced Cancer Therapy

Advanced Functional Materials, EarlyView.
This work proposes a nanomedicine‐based strategy to enhance X‐ray radiotherapy for cancer treatment. Ultrasmall Pt‐NPs exhibit catalase‐like activity that may contribute to modulation of the tumor microenvironment and amplify interactions between radiation and biological matter, leading to increased DNA damage.
Miguel Encinas‐Gimenez, Jose I. Garcia‐Peiro, Jose L. Hueso, Eduardo Caleiras, Laura Notario, Felipe Hornos, Pilar Martin‐Duque, Antonio De la Vieja, Jesus Santamaria   +8 more
wiley   +1 more source

A comprehensive review on the existence of normalized solutions for four classes of nonlinear elliptic equations [PDF]

Opuscula Mathematica
This paper provides a comprehensive review of recent results concerning the existence of normalized solutions for four classes of nonlinear elliptic equations: Schrödinger equations, Schrödinger-Poisson equations, Kirchhoff equations, and Choquard ...
Sitong Chen, Xianhua Tang
doaj   +1 more source

The Terminal Domains of Collagen‐Like Silk Direct Molecular Interactions and Liquid–Liquid Phase Separation‐Mediated Material Assembly

Advanced Functional Materials, EarlyView.
Terminal domains of recombinant collagen‐like silk regulate hierarchical self‐assembly across molecular and material scales. We show that terminal domains of collagen‐like silk enhance triple‐helix stability and drive liquid–liquid phase separation, enabling reversible formation of fibers and self‐healing films.
Mengjie Shen, Daniil Astapov, Nur Alia Oktaviani, Mami Goto, Keiji Numata, A. Sesilja Aranko   +5 more
wiley   +1 more source

Investigation of Halogen Substitution Effects in π‐Conjugated Organic Ligands of Chiral Hybrid Perovskites on Their Chiroptical Activity

Advanced Functional Materials, EarlyView.
The role of novel thiophene‐based ligands with halogen substitutions in enhancing the chiroptical and optoelectronic properties of 2D chiral HOIPs has been investigated. By tailoring ligand design, enhanced CD and CPL properties are achieved, with improved CPL discrimination in photodetectors.
Boesung Kwon, Doyeong Yeo, In‐Chul Hwang, In Hwan Jung, Joon Hak Oh   +4 more
wiley   +1 more source

Maximum Principles for Dynamic Equations on Time Scales and Their Applications

Journal of Applied Mathematics, 2014
We consider the second dynamic operators of elliptic type on time scales. We establish basic generalized maximum principles and apply them to obtain weak comparison principle for second dynamic elliptic operators and to obtain the uniqueness of Dirichlet
Shuqing Zhou, Hui Li
doaj   +1 more source

MXene/PEDOT Functional Coatings on Flexible Microelectrode Arrays for Multianalyte In Vivo Neurochemical Sensing and Electrophysiology

Advanced Functional Materials, EarlyView.
A MXene/PEDOT coating enables multimodal functionality and dual‐analyte detection of dopamine and serotonin in flexible microelectrode arrays while enhancing electrophysiological recording quality. The anti‐fouling, low‐impedance interface overcomes key limitations of conventional coatings, providing a robust and versatile platform to investigate the ...
Ilaria Gatti, Karamullah Eisawi, Umisha Siwakoti, Greyson Jadwin, Ashmita Sigdel, Michela Chiappalone, Deepak Kumbhare, Michael Naguib, Elisa Castagnola   +8 more
wiley   +1 more source