Results 101 to 110 of about 24,953,243 (325)

A note on the variational structure of an elliptic system involving critical Sobolev exponent

Journal of Applied Mathematics, 2003
We consider an elliptic system involving critical growth conditions. We develop a technique of variational methods for elliptic systems. Using the well-known results of maximum principle for systems developed by Fleckinger et al.
Mario Zuluaga
doaj   +1 more source

Parabolic-elliptic Keller–Segel system

Tunisian Journal of Mathematics
We study on the whole space R d the compressible Euler system with damping coupled to the Poisson equation when the damping coefficient tends towards infinity. We first prove a result of global existence for the Euler-Poisson system in the case where the damping is large enough, then, in a second step, we rigorously justify the passage to the limit to ...
openaire   +2 more sources

On elliptic systems in Rn

Acta Mathematica, 1983
On etudie des systemes elliptiques k×k d'operateurs differentiels dans R n qui peuvent s'ecrire sous la forme A=A∞+Q ou A∞ est un systeme elliptique d'operateurs a coefficients constants et Q est une perturbation a coefficient variable avec certaines proprietes de decroissance a |x|=∞
Lockhart, Robert B., McOwen, Robert C.
openaire   +2 more sources

Elliptic hypergeometric terms

, 2011
General structure of the multivariate plain and q-hypergeometric terms and univariate elliptic hypergeometric terms is described. Some explicit examples of the totally elliptic hypergeometric terms leading to multidimensional integrals on root systems ...
Spiridonov, V. P.
core  

Mechanoregulatory Effects of Cell‐Scale Microwells on Epithelial Cell Phenotype

Advanced Functional Materials, EarlyView.
In small polycaprolactone microwells, A549 epithelial cells span well edges, in contrast to cells growing on flat substrates. Focal adhesion sites (yellow) concentrate at topographic boundaries, while cytoskeletal tension (magenta stress fibers) is transmitted to the nucleus (blue), reducing nuclear sphericity.
Ruiwen He, Wang Sik Lee, Phattadon Yajan, Aaron Lee, Mauro Sousa de Almeida, Sandeep Keshavan, Jozef Adamcik, Céline Loussert‐Fonta, Dimitri Vanhecke, Barbara Rothen‐Rutishauser, Alke Petri‐Fink   +10 more
wiley   +1 more source

Critical Neumann problem for nonlinear elliptic systems in exterior domains

Electronic Journal of Differential Equations, 2008
In this paper, we investigate the Neumann problem for a critical elliptic system in exterior domains. Assuming that the coefficient $Q(x)$ is a positive smooth function and $lambda$, $mugeq0$ are parameters, we examine the common effect of the mean ...
Jianfu Yang, Shengbing Deng
doaj  

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

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

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  

Dirichlet type problem for the system of elliptic equations, which order degenerate at a line

Nonlinear Analysis, 2014
Dirichlet type problem in a bounded domain for the system of linear elliptic equations of second order, which degenerate into first order system at a line crossing the domain, is studied.
Stasys Rutkauskas
doaj   +1 more source