Results 121 to 130 of about 9,572,899 (307)
On Liouville theorem and the regularity of weak solutions to some nonlinear elliptic systems of higher order [PDF]
, 1991 summary:The aim of this paper is to show that Liouville type property is a sufficient and necessary condition for the regularity of weak solutions of nonlinear elliptic systems of the higher ...
Balanda, L., Viszus, E.
core +1 more source
Electronic Journal of Differential Equations, 2004 We prove a critical-point result which provides conditions for the existence of infinitely many critical points of a strongly indefinite functional with perturbed symmetries.
Monica Clapp +2 more
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A class of alternate strip-based domain decomposition methods for elliptic partial differential Equations [PDF]
, 2005 The domain decomposition strategies proposed in this thesis are efficient preconditioning techniques with good parallelism properties for the discrete systems which arise from the finite element approximation of symmetric elliptic boundary value problems
Mihai, Loredana Angela
core
Some Families of Elliptic Curves [PDF]
, 2023 Elliptic curves, intricate mathematical structures, form a nexus between number theory, alge- braic geometry, and cryptography. This paper offers a thorough exploration of these curves, delving into their foundational properties, historical origins, and ...
Shah, Sudev
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Advanced Materials Interfaces, EarlyView.When exposed to light of a defined wavelength, the photoisomerization of azobenzene chromophores leads to polymer reorientation, generating stresses that result in solvent‐facilitated localized delamination of the film from the substrate. Additionally, blisters that form spontaneously when exposed to an aqueous environment can be manipulated via ...
James Robert Benson +4 more
wiley +1 more source
Noncooperative elliptic systems [PDF]
Zeitschrift für angewandte Mathematik und Physik, 2010 The author proves the existence of solutions to noncooperative elliptic systems. The proof is based on abstract theories showed by the author and the monotonicity trick introduced by Struwe.
openaire +1 more source
Spatial Homeotropic and Planar Liquid Crystal Alignment Patterning
Advanced Materials Interfaces, EarlyView.A voltage‐assisted two‐step photoalignment methodology achieves precise micro‐patterning of alternating planar and homeotropic liquid crystal domains. Applying an AC electric field during in situ laser illumination minimizes phase retardation, reducing the required exposure dose. This cooperative mechanism enables high‐resolution spatial patterning and
Mingye Li, Inge Nys, Jeroen Beeckman
wiley +1 more source
Multiplicity of Positive Solutions for Semilinear Elliptic Systems
Abstract and Applied Analysis, 2013 We study the effect of the coefficient of the critical nonlinearity on the number of positive solutions for semilinear elliptic systems. Under suitable assumptions for , , and , we should prove that for sufficiently small , there are at least positive ...
Tsing-San Hsu
doaj +1 more source
Advanced Materials Technologies, EarlyView.A closed U‐shaped microfluidic platform symmetrically embeds a single, size‐controlled HT29 colorectal cancer spheroid within a GFP‐HUVEC‐laden fibrin matrix. HT29 spheroids are associated with hyper‐branched endothelial network remodeling, while vascularized co‐culture is accompanied by anisotropic protrusive growth and EMT‐like marker changes in the ...
G. Cretti +4 more
wiley +1 more source
Existence of positive solutions for some nonlinear elliptic systems on the half space
Electronic Journal of Differential Equations, 2011 We prove some existence of positive solutions to the semilinear elliptic system $$displaylines{ Delta u =lambda p(x)g(v)cr Delta v =mu q(x)f(u) }$$ in the half space ${mathbb{R}}^n_+$, $ngeq 2$, subject to some Dirichlet conditions, where $lambda$
Noureddine Zeddini
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