Results 31 to 40 of about 456,102 (333)

Numerical solution of a critical Sobolev exponent problem with weight on 𝕊3

Journal of Taibah University for Science, 2021
In this paper, we prove the existence of a positive solution for elliptic nonlinear partial differential equation with weight involving a critical exponent of Sobolev imbedding on $ \mathbb {S}^{3} $ .
Adel Almarashi, Idir Mechai, Ahmed Msmali, Habib Yazidi   +3 more
doaj   +1 more source

New solutions to a category of nonlinear PDEs

Frontiers in Physics
The nonlinear partial differential equations are not only used in many physical models, but also fundamentally applied in the field of nonlinear science. In order to solve certain nonlinear partial differential equation, the extended hyperbolic auxiliary
Bacui Li, Fuzhang Wang
doaj   +1 more source

Multi‐institutional study on image quality for a novel CBCT solution on O‐ring linac

Journal of Applied Clinical Medical Physics, EarlyView.
Abstract Introduction This work presents a multi‐institutional study on image quality provided by a novel cone beam computed tomography (CBCT). The main goal is to investigate the consistency of imaging performance across multiple institutions.
Luis Agulles‐Pedrós, R. Lee MacDonald, Amanda Jean Cherpak, Nayha Dixit, Lei Dong, Tianyu Zhao, Kundan Thind, Anthony Doemer, Boon‐Keng Teo, Shiqin Su, Alexander Moncion, James L. Robar   +11 more
wiley   +1 more source

Boundary differentiability of solutions to elliptic equations in convex domains in the borderline case [PDF]

arXiv, 2021
In this work, we consider the following elliptic partial differential equations: \begin{equation*} \left\{ \begin{aligned}{} - b_{ij} \; \frac{\partial^{2} w}{\partial x_{i} \partial x_{j}} &= g \;\;\; \text{in} \;\; \Omega, w &= 0 \;\;\;\text{on} \;\partial \Omega, \end{aligned} \right.
arxiv  

Classification of Exact Solutions for Generalized Form of Equation

Abstract and Applied Analysis, 2013
The classification of exact solutions, including solitons and elliptic solutions, to the generalized equation by the complete discrimination system for polynomial method has been obtained.
Hasan Bulut
doaj   +1 more source

A double inverse problem for Fredholm integro-differential equation of elliptic type

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
In this paper the double inverse problem for partial differential equations is considered. The method of studying the one value solvability of the double inverse problem for a Fredholm integro-differential equation of elliptic type with degenerate kernel
Tursun K Yuldashev
doaj   +1 more source

Hamiltonian identities for elliptic partial differential equations

Journal of Functional Analysis, 2008
AbstractNew identities for elliptic partial differential equations are obtained. Several applications are discussed. In particular, Young's law for the contact angles in triple junction formation is proven rigorously. Structure of level curves of saddle solutions to Allen–Cahn equation are also carefully analyzed.
Changfeng Gui, Changfeng Gui
openaire   +2 more sources

A review of artificial intelligence in brachytherapy

Journal of Applied Clinical Medical Physics, EarlyView.
Abstract Artificial intelligence (AI) has the potential to revolutionize brachytherapy's clinical workflow. This review comprehensively examines the application of AI, focusing on machine learning and deep learning, in various aspects of brachytherapy.
Jingchu Chen, Richard L. J. Qiu, Tonghe Wang, Shadab Momin, Xiaofeng Yang   +4 more
wiley   +1 more source

The (G′/G)-expansion method for solving a nonlinear PDE describing the nonlinear low-pass electrical lines

Journal of Taibah University for Science, 2019
In this paper, we apply the (G′/G)-expansion method based on three auxiliary equations, namely, the generalized Riccati equation $ G^{\prime}(\xi ) = r + pG(\xi ) + q{G^2}(\xi ) $ , the Jacobi elliptic equation $ {({G^{\prime}(\xi )} )^2} = R + Q{G^2 ...
Ayad M. Shahoot, Khaled A. E. Alurrfi, Mohamed O. M. Elmrid, Ali M. Almsiri, Abdullah M. H. Arwiniya   +4 more
doaj   +1 more source

Representability in non-linear elliptic Fredholm analysis [PDF]

arXiv, 2023
We summarize current work aimed at showing that moduli spaces of solutions to non-linear elliptic Fredholm partial differential equations are derived log smooth manifolds.
arxiv