Results 161 to 170 of about 35,592 (307)

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 uniqueness of a nonlinear diffusion equation related to the p-Laplacian. [PDF]

J Inequal Appl, 2018
Zhan H.
europepmc   +1 more source

Generalized φ$$ \varphi $$‐Pullback Attractors in Time‐Dependent Spaces: Application to a Nonautonomous Wave Equation With Time‐Dependent Propagation Velocity

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We present sufficient conditions to obtain a generalized (φ,D)$$ \left(\varphi, \mathfrak{D}\right) $$‐pullback attractor for evolution processes on time‐dependent phase spaces, where φ$$ \varphi $$ is a given decay function and D$$ \mathfrak{D} $$ is a given universe.
Matheus Cheque Bortolan, Carlos Pecorari Neto, Heraclio López Lázaro, Paulo N. Seminario Huertas   +3 more
wiley   +1 more source

Complete quenching phenomenon for a parabolic p-Laplacian equation with a weighted absorption. [PDF]

J Inequal Appl, 2018
Zhu L.
europepmc   +1 more source

Existence of Weak Solutions for a Degenerate Goursat‐Type Linear Problem

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT For a generalization of the Gellerstedt operator with mixed‐type Dirichlet boundary conditions to a suitable Tricomi domain, we prove the existence and uniqueness of weak solutions of the linear problem and for a generalization of this problem.
Olimpio Hiroshi Miyagaki, Carlos Alberto Reyes Peña, Rodrigo da Silva Rodrigues   +2 more
wiley   +1 more source

Nonexistence results for weighted p-Laplace equations with singular nonlinearities

Electronic Journal of Differential Equations, 2019
In this article we present some nonexistence results concerning stable solutions to the equation $$ \hbox{div}\big(w(x)|\nabla u|^{p-2}\nabla u\big) =g(x)f(u)\quad \text{in }\mathbb{R}^N,\;p\geq 2 $$ when f(u) is either $u^{-\delta}+u^{-\gamma ...
Kaushik Bal, Prashanta Garain
doaj  

Remark on the Cauchy problem for the evolution p-Laplacian equation. [PDF]

J Inequal Appl, 2017
Wang L, Yin J, Cao J.
europepmc   +1 more source

Minimax principles for critical-point theory in applications to quasilinear boundary-value problems

Electronic Journal of Differential Equations, 2000
Using the variational method developed by the same author in [7], we establish the existence of solutions to the equation $-Delta_p u = f(x,u)$ with Dirichlet boundary conditions.
A. R. El Amrouss, M. Moussaoui
doaj  

An application of eigenfunctions of $p$-Laplacians to domain separation [PDF]

, 2001
H. Gajewski
openalex   +1 more source

Counting glomeruli in human kidney specimens using ex vivo MRI without contrast agents

Magnetic Resonance in Medicine, EarlyView.
Abstract Purpose The total number of glomeruli is an important indicator of kidney function and susceptibility to disease. Glomeruli, however, are difficult to image using MRI without contrast enhancement. For this reason, previous studies have used cationic ferritin as a contrast agent to detect glomeruli in ex vivo and in vivo perfused kidneys.
Nyoman D. Kurniawan, Aurel J. Amar, Luise A. Cullen‐McEwen, Alexander N. Combes, Raeesah Hayatudin, Andrew J. Kassianos, Jiaxin Du, Sarah E. Gazzard, Helen G. Healy, Wendy E. Hoy, John F. Bertram, David C. Reutens   +11 more
wiley   +1 more source