Results 11 to 20 of about 6,475 (219)

Improved General Mapping Deformation Method for Nonlinear Partial Differential Equations in Mathematical Physics

open access: yesJournal of Applied Mathematics, 2013
We use the improved general mapping deformation method based on the generalized Jacobi elliptic functions expansion method to construct some of the generalized Jacobi elliptic solutions for some nonlinear partial differential equations in mathematical ...
Khaled A. Gepreel
doaj   +1 more source

A Deep Neural Network Algorithm for Semilinear Elliptic PDEs with Applications in Insurance Mathematics

open access: yesRisks, 2020
In insurance mathematics, optimal control problems over an infinite time horizon arise when computing risk measures. An example of such a risk measure is the expected discounted future dividend payments.
Stefan Kremsner   +2 more
doaj   +1 more source

A Priori and a Posteriori Error Analysis for Generic Linear Elliptic Problems

open access: yesTikrit Journal of Pure Science, 2022
In this paper, a priori error analysis has been examined for the continuous Galerkin finite element method which is used for solving a generic scalar and a generic system of linear elliptic equations.
Hala Raad, Mohammad Sabawi
doaj   +1 more source

Existence of positive weak solutions for a class of singular elliptic equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2011
In this note, we are concerned with positive solutions for a class of singular elliptic equations. Under some conditions, we obtain weak solutions for the equations by elliptic regularization method and sub-super solution method.
Li Xia, Jingna Li, Zheng'an Yao
doaj   +1 more source

Jacobi Elliptic Solutions for Nonlinear Differential Difference Equations in Mathematical Physics

open access: yesJournal of Applied Mathematics, 2012
We put a direct new method to construct the rational Jacobi elliptic solutions for nonlinear differential difference equations which may be called the rational Jacobi elliptic functions method.
Khaled A. Gepreel, A. R. Shehata
doaj   +1 more source

Hölder Regularity of Solutions to Second-Order Elliptic Equations in Nonsmooth Domains

open access: yesBoundary Value Problems, 2006
We establish the global Hölder estimates for solutions to second-order elliptic equations, which vanish on the boundary, while the right-hand side is allowed to be unbounded.
Sungwon Cho, Mikhail Safonov
doaj   +1 more source

Molecular characterization of covRS mutations in M1UK Streptococcus pyogenes

open access: yesFEBS Open Bio, EarlyView.
Group A Streptococcus (GAS) acquires covRS mutations driving a hypervirulent bacterial state, frequently associated with invasive disease‐like necrotizing fasciitis. We demonstrate that the newly emerged M1UK GAS lineage can also acquire these mutations.
Jarrad Pritchard   +12 more
wiley   +1 more source

Compactness methods for Hölder estimates of certain degenerate elliptic equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2012
In this paper we obtain the interior $C^{1,\alpha}$ regularity of the quasilinear elliptic equations of divergence form. Our basic tools are the elementary local $L^\infty$ estimates and weak Harnack inequality for second-order linear elliptic equations,
Fengping Yao, Mijia Lai, Huilian Jia
doaj   +1 more source

Comprehensive Assessment of Arterial, Tissue, and Venous Collaterals for Evaluating the Infarct Growth Rate: The Multimodal Collateral Score

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Collaterals are crucial factors that influence the infarct growth rate (IGR). We aimed to determine whether a comprehensive multimodal collateral score (MCS), incorporating collateral assessment at the arterial, tissue, and venous levels, is associated with functional independence and provides incremental prognostic value over ...
Giorgio Busto   +12 more
wiley   +1 more source

Plasma EV Proteomics Identifies ECM Remodeling and Inflammatory Proteins LUM and C7 as Candidate Biomarkers in FSHD

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Facioscapulohumeral muscular dystrophy (FSHD) is one of the most debilitating and common muscular dystrophies. Despite its severity, no approved therapy exists for FSHD patients. However, several therapeutic candidates are currently under development, and some have recently entered clinical trials, marking the need for reliable ...
Mustafa Bilal Bayazit   +11 more
wiley   +1 more source

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