Results 81 to 90 of about 229,358 (332)

The obstacle problem for degenerate anisotropic elliptic equations with variable exponents and $L^1$-data [PDF]

, 2021
Hocine Ayadi, P Bnilan, L Boccardo, T Gallout, R Gariepy, M Pierre, J Vazquez, J Rodrigues, M Sanchn, J Urbano, H Ayadi, R Souilah, L Boccardo, R Cirmi, J Zheng, L Tavares, Y Akdim, A Salmani, E Azroul, M Benboubker, H Hjiaj, C Yazough, M Sanchn, J Urbano, L Diening, P Hst, P Harjulehto, M Ruika, A Almeida, P Harjulehto, P Hst, T Lukkari, Z Li, W Gao, X Fan, M Mihilescu, P Pucci, V Rdulescu, A Alvino, L Boccardo, V Ferone, L Orsina, G Trombetti, A Kovalevsky, H Ayadi, F Mokhtari   +45 more
openalex   +1 more source

$L^p$-theory for fractional gradient PDE with VMO coefficients

, 2015
In this paper, we prove $L^p$ estimates for the fractional derivatives of solutions to elliptic fractional partial differential equations whose coefficients are $VMO$.
Schikorra, Armin, Shieh, Tien-Tsan, Spector, Daniel   +2 more
core   +1 more source

Bio‐Inspired Magnetically Tunable Structural Colors from Elliptical Self‐Assembled Block Copolymer Microparticles

Advanced Functional Materials, EarlyView.
Cephalopod‐inspired photonic microparticles with dynamic structural coloration are fabricated via confined self‐assembly of linear block copolymers into ellipsoids containing stacked lamellae. Embedded superparamagnetic nanoparticles enable rapid magnetic alignment, restoring vivid, angle‐dependent color.
Gianluca Mazzotta, Simone Bertucci, Jose Mendoza‐Carreño, Agustín Mihi, Paola Lova, Davide Comoretto, Ullrich Steiner, Marco Lattuada, Andrea Dodero   +8 more
wiley   +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

R-matrix Quantization of the Elliptic Ruijsenaars--Schneider model

, 1997
It is shown that the classical L-operator algebra of the elliptic Ruijsenaars-Schneider model can be realized as a subalgebra of the algebra of functions on the cotangent bundle over the centrally extended current group in two dimensions.
A. A. Belavin, A. Gorsky, B. Enriquez, E. K. Sklyanin, E. K. Sklyanin, F. Falceto, H. W. Braden, I. M. Krichever, J. Avan, J. Avan, J. Avan, J. L. Gervais, K. Hasegawa, K. Hasegawa, M. A. Olshanetsky, M. Jimbo, M. P. Richey, O. Babelon, O. Babelon, R. J. Baxter, S. N. Ruijsenaars, Y. Quano   +21 more
core   +1 more source

Mechanically Stable and Tunable Photoactivated Peptide‐Based Hydrogels for Soft Tissue Adhesion

Advanced Functional Materials, EarlyView.
A collagen‐like peptide hydrogel platform is developed using supramolecular self‐assembly and light‐triggered crosslinking. It creates mechanically stable, tunable hydrogels with cytocompatibility and biodegradability, making them potential soft tissue adhesives.
Alex Ross, Daniel Nguyen, Aidan J. MacAdam, German A. Mercado Salazar, Micaela Gianetti, Ramis Ileri, Marc Ruel, Erik J. Suuronen, Emilio I. Alarcon   +8 more
wiley   +1 more source

Thermo‐Mechanically Recyclable Smart Textiles from Circularly Knitted Liquid Crystal Elastomer Fibers

Advanced Functional Materials, EarlyView.
Reprogrammable multi‐material smart textiles knitted from liquid crystal elastomer fibers undergo 2D and 3D deformation under thermal and photo stimuli. Circularly knitted tubular structures reversibly contract in radial and axial directions, enabling autonomous climbing, liquid release, and micro pumping.
Xue Wan, Tongxiang Deng, Linda Plaude, Bo Gao, Siyao Chen, Fabien Sorin, Kaspar M. B. Jansen, Kun Zhou, Albert P. H. J. Schenning   +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

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

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