Results 71 to 80 of about 2,479 (310)
The Transmutation Method and Boundary-Value Problems for Singular Elliptic Equations
Современная математика: Фундаментальные направления, 2018 The main content of this book is composed from two doctoral theses: by V. V. Katrakhov (1989) and by S. M. Sitnik (2016). In our work, for the first time in the format of a monograph, we systematically expound the theory of transmutation operators and ...
Valeriy V Katrakhov, Sergey M Sitnik
doaj +1 more source
Journal of Mathematics, 2021 The Uzawa method is an iterative approach to find approximated solutions to the Stokes equations. This method solves velocity variables involving augmented Lagrangian operator and then updates pressure variable by Richardson update.
Jae-Hong Pyo, Deok-Kyu Jang
doaj +1 more source
Spike-layers in semilinear elliptic singular Perturbation Problems [PDF]
, 1992 Ni, Wei-Ming; Takagi, Izumi. (1992). Spike-layers in semilinear elliptic singular Perturbation Problems.
Takagi, Izumi +3 more
core +1 more source
Advanced Science, EarlyView.A versatile framework integrates addressable electrothermal actuation and strain‐constraint mechanisms to construct programmable shape‐morphing soft matter systems. By combining an analytical inverse design strategy for high‐fidelity 3D surface reconstruction with deep learning‐based closed‐loop control, this approach enables zero‐energy shape locking,
Kai Liu +5 more
wiley +1 more source
Eigenvalue problems for a class of singular quasilinear elliptic equations in weighted spaces
Electronic Journal of Qualitative Theory of Differential Equations, 2012 In this paper, by using the Galerkin method and the generalized Brouwer's theorem, some problems of the higher eigenvalues are studied for a class of singular quasiliner elliptic equations in the weighted Sobolev spaces.
Gao Jia, Mei-ling Zhao, Fang-lan Li
doaj +1 more source
Singular elliptic problems with lack of compactness [PDF]
Annali di Matematica Pura ed Applicata, 2005 We consider the following nonlinear singular elliptic equation $$-{div} (|x|^{-2a}\nabla u)=K(x)|x|^{-bp}|u|^{p-2}u+\la g(x) \quad{in} \RR^N,$$ where $g$ belongs to an appropriate weighted Sobolev space, and $p$ denotes the Caffarelli-Kohn-Nirenberg critical exponent associated to $a$, $b$, and $N$.
Ghergu, Marius, Rădulescu, Vicentiu
openaire +2 more sources
Processing‐Centric Innovative Strategies for Protonic Ceramic Electrochemical Cells
Advanced Energy Materials, EarlyView.This review reveals how processing‐centric fabrication strategies govern architecture, microstructure, and interfaces in protonic ceramic electrochemical cells (PCECs), establishing a framework that translates materials innovation into scalable PCEC technologies.
Dongyeon Kim +5 more
wiley +1 more source
Elliptic perturbations for Hammerstein equations with singular nonlinear term
Electronic Journal of Differential Equations, 2006 We consider a singular elliptic perturbation of a Hammerstein integral equation with singular nonlinear term at the origin. The compactness of the solutions to the perturbed problem and, hence, the existence of a positive solution for the ...
Giuseppe Maria Coclite +1 more
doaj
A note on the polynomial approximation of vertex singularities in the boundary element method in three dimensions [PDF]
, 2008 We study polynomial approximations of vertex singularities of the type $r^\lambda |\log r|^\beta$ on three-dimensional surfaces. The analysis focuses on the case when $\lambda > -\frac 12$.
Bespalov, A, Bespalov, Alexei
core +1 more source
Advanced Intelligent Discovery, EarlyView.Machine learning serves as a central engine for the intelligent characterization of two‐dimensional materials by integrating multimodal techniques, including optical microscopy, spectroscopy, electron microscopy, and scanning probe microscopy (SPM). This unified framework enables automated, high‐throughput, and quantitative extraction of structural ...
Zhi‐Long Cao, Jia‐Xu Yan
wiley +1 more source