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A singular semilinear problem with dependence on the gradient

Journal of Differential Equations, 2016
This paper is concerned with the study of positive solutions of a class of semilinear elliptic equations with singular nonlinearity, gradient term, and Dirichlet boundary condition. The authors establish sufficient conditions for the existence of classical and weak solutions.
F. Faraci, D. Puglisi
semanticscholar   +2 more sources

Radial solutions for p‐Laplacian Neumann problems with gradient dependence

Mathematische Nachrichten, 2022
We study the radial solutions of the p‐Laplacian Neumann problem with gradient dependence of the type −Δpu=f(|x|,u,|∇u|)inΩ,∂u∂n=0on∂Ω,$$\begin{equation*} {\hspace*{8pc}\left\lbrace \def\eqcellsep{&}\begin{array}{l}-\Delta _{p}u=f(|x|,u,|\nabla u|)\quad \
M. Pei, Libo Wang, Xuezhe Lv
semanticscholar   +1 more source

Temperature gradient dependence on electrical tree in epoxy resin with harmonic superimposed DC voltage

IEEE transactions on dielectrics and electrical insulation, 2020
Transient superimposed voltage, which is accompanied by a temperature gradient caused by Joule heat, can threaten the insulation safety of high-voltage direct current (HVDC) cable terminations.
B. Du, M. Tian, J. Su, T. Han
semanticscholar   +1 more source

On the dependence of standard and gradient elastic material constants on a field of defects

Mathematics and mechanics of solids, 2020
In this work, we consider a strain gradient elasticity theory with an extended number of field variables: the displacement vector and an additional scalar field defining the internal micro-deformation.
Y. Solyaev   +3 more
semanticscholar   +1 more source

Gradient direction dependencies in natural images

Spatial Vision, 2007
We have used information-theoretic measures to compute the amount of dependency which exists between two and three gradient directions at separate locations in an ensemble of natural images. Control experiments were performed on other image classes: phase randomized natural images, whitened natural images and Gaussian noise images.
Alexandre J, Nasrallah, Lewis D, Griffin
openaire   +2 more sources

Variational principles for softening gradient dependent plasticity

International Journal of Solids and Structures, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Z. M., Peterson, M. L.
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On the Curvature Dependence of Gradient Damage Models: Control and Opportunities

Computer Methods in Applied Mechanics and Engineering, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
K. Langenfeld, P. Kurzeja, J. Mosler
openaire   +1 more source

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