Results 101 to 110 of about 165,815 (307)
A priori estimate for the Nirenberg problem
Discrete and Continuous Dynamical Systems - S, 2008 We establish a priori estimate for solutions to the prescribing Gaussian curvature equation $ - \Delta u + 1 = K(x) e^{2u}, x \in S^2,$ (1) for functions $K(x)$ which are allowed to change signs. In [16], Chang, Gursky and Yang obtained a priori estimate for the solution of (1) under the condition that the function K(x) be positive
Wenxiong Chen, Congming Li
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An Experimental High‐Throughput Approach for the Screening of Hard Magnet Materials
Advanced Engineering Materials, EarlyView.An entire workflow for the high‐throughput characterization and analysis of compositionally graded magnetic films is presented. Characterization protocols, data management tools and data analysis approaches are illustrated with test case Sm(Fe, V)12 based films.
William Rigaut +16 more
wiley +1 more source
A view on Liouville theorems in PDEs
Analysis and Geometry in Metric SpacesOur review of Liouville theorems includes a special focus on nonlinear partial differential equations and inequalities.
Mitidieri Enzo
doaj +1 more source
Control of Polarization and Polar Helicity in BiFeO3 by Epitaxial Strain and Interfacial Chemistry
Advanced Functional Materials, EarlyView.In BiFeO3 thin films, the interplay of interfacial chemistry, electrostatics, and epitaxial strain is engineered to stabilize homohelicity in polarization textures at the domain scale. The synergistic use of a Bi2O2‐terminated Aurivillius buffer layer and a highly anisotropic compressive epitaxial strain offers new routes to control the polar‐texture ...
Elzbieta Gradauskaite +5 more
wiley +1 more source
Solvability of Neumann boundary-value problems with Caratheodory nonlinearities
Electronic Journal of Differential Equations, 2004 We propose a sufficient condition, on the nonlinear term, for the existence of solutions. This new condition is weaker than the usual sign condition and than the assumption on the existence of constant upper and lower solutions.
Abdelkader Boucherif, Nawal Al-Malki
doaj
On an initial-boundary value problem for the nonlinear Schrödinger equation
International Journal of Mathematics and Mathematical Sciences, 1979 We study an initial-boundary value problem for the nonlinear Schrödinger equation, a simple mathematical model for the interaction between electromagnetic waves and a plasma layer.
Herbert Gajewski
doaj +1 more source
Advanced Functional Materials, EarlyView.Solution‐processed Cu(bdc) forms prototypical MOF thin films for which a multitude of not fully satisfactory structural models have been suggested. Combining rotating grazing‐incidence diffraction and X‐ray reflectivity on two complementary samples with density‐functional theory, we first discard the previously suggested models and then identify a non ...
Narges Taghizade +7 more
wiley +1 more source
Mechanoluminescent HOF Nanotransducers Enabled Sono‐Optogenetics in Parkinsonian Rats
Advanced Functional Materials, EarlyView.We present a mechanoluminescent system utilizing porous hydrogen‐bonded organic frameworks (HOFs) as a toolkit for focused ultrasound‐triggered, non‐invasive light delivery to the deep brain in rats. This approach enables the specific activation of PV‐GPe neurons in dopamine‐depleted Parkinson's disease rat models, resulting in a comparable alleviation
Wenliang Wang +18 more
wiley +1 more source
A priori estimates for solutions conserning system of parabolic equations.
, 2016 A Priori Estimates for Solutions Conserning System of Parabolic ...
Lukošiūtė, Gerda,
core
A priori estimates for quasilinear degenarate parabolic equations [PDF]
, 2003 We prove some maximum and gradient estimates for classical solutions to a wide class of quasilinear degenerate parabolic equations, including first order ones.
Pascucci A. +3 more
core +1 more source