Results 171 to 180 of about 19,228,694 (296)
Eigenvalues homogenization for the fractional p-Laplacian
Electronic Journal of Differential Equations, 2016 In this work we study the homogenization for eigenvalues of the fractional p-Laplace operator in a bounded domain both with Dirichlet and Neumann conditions. We obtain the convergence of eigenvalues and the explicit order of the convergence rates when
Ariel Martin Salort
doaj
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 +2 more
wiley +1 more source
Solving p-Laplacian equations on complete manifolds
Electronic Journal of Differential Equations, 2006 Using a reduced version of the sub and super-solutions method, we prove that the equation $Delta _{p}u+ku^{p-1}-Ku^{p^{ast }-1}=0$ has a positive solution on a complete Riemannian manifold for appropriate functions $k,K:Mo mathbb{R}$.
Mohammed Benalili, Youssef Maliki
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Bifurcation for the $p$-Laplacian in ${\bf R}^N$ [PDF]
, 2000 Jesús García Azorero +2 more
openalex +1 more source
Optimization in problems involving the p-Laplacian
Electronic Journal of Differential Equations, 2010 We minimize the energy integral $int_Omega | abla u|^p,dx$, where $g$ is a bounded positive function that varies in a class of rearrangements, $p>1$, and $u$ is a solution of $$displaylines{ -Delta_p u=g quadhbox{in } Omegacr u=0quad hbox{on ...
Monica Marras
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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
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 +11 more
wiley +1 more source
Image‐Based Flaw Identification Using Convolutional Neural Network
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT Flaw detection in structures is crucial for ensuring structural integrity and safety across various engineering applications. Traditional nondestructive evaluation (NDE) techniques often face challenges in accurately identifying and characterizing flaws, particularly when dealing with complex geometries and strain fields.
Pugazhenthi Thananjayan +2 more
wiley +1 more source
Natural Sciences, EarlyView.The study presented investigates the thermo‐mechanical behavior of a sandwich structure with a tetrachiral‐shaped auxetic core. The geometric configuration, unit cell architecture, and the influence of the material length scale on the effective stiffness under temperature variation are illustrated.
Mustafa Buğday
wiley +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
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