Results 31 to 40 of about 172,487 (303)

On convergence of gradient-dependent integrands [PDF]

open access: yesApplications of Mathematics, 2007
We study convergence properties of {υ(∇uk)}k∈ℕ if υ ∈ C(ℝm×m), |υ(s)| ⩽ C(1+|s|p), 1 < p < + ∞, has a finite quasiconvex envelope, uk → u weakly in W1,p (Ω; ℝm) and for some g ∈ C(Ω) it holds that ∫Ωg(x)υ(∇uk(x))dx → ∫Ωg(x)Qυ(∇u(x))dx as k → ∞. In particular, we give necessary and sufficient conditions for L1-weak convergence of {det ∇uk}k∈ℕ to det ∇u ...
openaire   +2 more sources

Range dependent phase gradient autofocus [PDF]

open access: yesIGARSS '98. Sensing and Managing the Environment. 1998 IEEE International Geoscience and Remote Sensing. Symposium Proceedings. (Cat. No.98CH36174), 1998
The Phase Gradient Autofocus (PGA) algorithm has been widely used in spotlight synthetic aperture radar (SAR) to remove motion-induced blurs in the images. The PGA algorithm has been proven to be a superior autofocus method. PGA assumes a narrow beam, which is valid for most SAR systems.
A.E. Robertson   +4 more
openaire   +2 more sources

Non-local gradient dependent operators

open access: yesAdvances in Mathematics, 2012
AbstractIn this paper we study a general class of “quasilinear non-local equations” depending on the gradient which arises from tug-of-war games. We establish a Cα/C1,α/C2,α regularity theory for these equations (the kind of regularity depending on the assumptions on the kernel), and we construct different non-local approximations of the p-Laplacian.
Clayton Bjorland   +2 more
openaire   +2 more sources

Location of solutions for quasi-linear elliptic equations with general gradient dependence

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2017
Existence and location of solutions to a Dirichlet problem driven by $(p,q)$-Laplacian and containing a (convection) term fully depending on the solution and its gradient are established through the method of subsolution-supersolution.
Dumitru Motreanu, Elisabetta Tornatore
doaj   +1 more source

Density-dependence tips the change of plant–plant interactions under environmental stress

open access: yesNature Communications, 2020
Density-dependence is rarely accounted for in plant-plant facilitation studies. Here the authors develop a framework that incorporates density-dependence in the stress-gradient hypothesis, and test it first through modeling and then empirically on ...
Ruichang Zhang, Katja Tielbörger
doaj   +1 more source

Dispersive properties of gradient-dependent and rate-dependent media

open access: yesMechanics of Materials, 1994
The dispersive behaviour of waves propagating in gradient-dependent and rate-dependent media is investigated analytically and numerically. Attention is focused on the proper modelling of dynamic strain localisation and the crucial role that dispersion plays in this.
de R René Borst, Lambertus J. Sluys
openaire   +2 more sources

Size-Dependent Behaviour of Representative Volume Element for Granular Material under Gravity-Induced Stress Gradient

open access: yesAdvances in Materials Science and Engineering, 2022
Gravity is the primary load source in geotechnical engineering, and its effect becomes extremely important in these cases such as lunar research station construction and in situ resource utilization. However, at the current stage, the study on the effect
Ruilin Li   +4 more
doaj   +1 more source

Frequency-dependent diffusion kurtosis imaging in the human brain using an oscillating gradient spin echo sequence and a high-performance head-only gradient

open access: yesNeuroImage, 2023
Measuring the time/frequency dependence of diffusion MRI is a promising approach to distinguish between the effects of different tissue microenvironments, such as membrane restriction, tissue heterogeneity, and compartmental water exchange. In this study,
Erpeng Dai   +7 more
doaj   +1 more source

On the Sub and Supersolution Method for Nonlinear Elliptic Equations with a Convective Term, in Orlicz Spaces

open access: yesMathematics
In this note we provide an overview of some existence (with sign information) and regularity results for differential equations, in which the method of sub and supersolutions plays an important role.
Giuseppina Barletta
doaj   +1 more source

THE ABUNDANCE OF HELIUM AND STELLAR PULSATION

open access: yesOdessa Astronomical Publications, 2017
Radial gradient of relative amplitude of the light variation FV for galactic classical Cepheids is found. The gradient has different signs for two cases: P > 8d and P < 8d. For P > 8d the gradient is negative.
V. V. Kovtyukh
doaj   +1 more source

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