Results 171 to 180 of about 19,135,649 (331)

On the antimaximum principle and the Fučik spectrum for the Neumann {$p$}-Laplacian [PDF]

, 2000
M.R. Arias, Juan Campos, Jean–Pierre Gossez   +2 more
openalex   +1 more source

Fundamental solutions to the p-Laplace equation in a class of Grushin vector fields

Electronic Journal of Differential Equations, 2011
We find the fundamental solution to the p-Laplace equation in a class of Grushin-type spaces. The singularity occurs at the sub-Riemannian points, which naturally corresponds to finding the fundamental solution of a generalized Grushin operator in ...
Thomas Bieske
doaj  

Fundamental Solutions and Green's Functions for Certain Elliptic Differential Operators From a Pseudodifferential Algebra

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We have studied possible applications of a particular pseudodifferential algebra in singular analysis for the construction of fundamental solutions and Green's functions of a certain class of elliptic partial differential operators. The pseudodifferential algebra considered in the present work, comprises degenerate partial differential ...
Heinz‐Jürgen Flad, Gohar Flad‐Harutyunyan   +1 more
wiley   +1 more source

The p-Laplacian: phenomenological modelling of the flow in porous media and CFD simulations [PDF]

arXiv
The aim of this paper is to discuss several aspects of connections between the p-Laplacian and mathematical models in hydrology. At first we present models of groundwater flow in phreatic aquifers and models of irrigation and drainage that lead to quasilinear parabolic equations involving the p-Laplacian.
arxiv  

Asymptotic Behavior of Blowup Solutions of a Parabolic Equation with the $p$-Laplacian

, 1996
Ataru Fujii, Masahito Ohta
openalex   +2 more sources

Quantitative susceptibility mapping of the human carotid artery: Assessing sensitivity to elastin and collagen ex vivo

Magnetic Resonance in Medicine, EarlyView.
Abstract Purpose The aim is to establish the relationship between carotid susceptibility and microstructural components in diseased carotid arteries. Methods Excised cadaveric carotid arteries (n = 5) were scanned using high‐resolution QSM at 7 Tesla. After ex vivo imaging, all samples were brought to histology and stained for elastin, collagen, cells,
Alan J. Stone, Brooke Tornifoglio, Francesco Digeronimo, Karin Shmueli, Caitríona Lally   +4 more
wiley   +1 more source

Global solutions for a nonlinear wave equation with the p-laplacian operator

, 1999
Hui Gao, T. F.
openalex   +1 more source

Bifurcation for the $p$-Laplacian in ${\bf R}^N$ [PDF]

, 2000
Jesús García Azorero, Eugenio Montefusco, Ireneo Peral   +2 more
openalex   +1 more source

SCT‐BEM for Transient Heat Conduction and Wave Propagation in 2D Thin‐Walled Structures

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Traditional boundary element method (BEM) faces significant challenges in addressing dynamic problems in thin‐walled structures. These challenges arise primarily from the complexities of handling time‐dependent terms and nearly singular integrals in structures with thin‐shapes.
Xiaotong Gao, Yan Gu
wiley   +1 more source

The existence of solution for boundary value problems for differential equations with deviating arguments and p-Laplacian [PDF]

, 2000
Bing Liu, Jianshe Yu
openalex   +1 more source