Results 31 to 40 of about 2,229 (304)
On a class of degenerate elliptic equations [PDF]
Nagoya Mathematical Journal, 1974 We shall prove in Chapter I the hypoellipticity for a class of degenerate elliptic operators of higher order. Chapter II will be devoted to the consideration of the regularity at the boundary for the solutions of general boundary problems for the equations considered in Chapter I being restricted to the second order.
Hashimoto, Yoshiaki, Matsuzawa, Tadato
openaire +2 more sources
Comparison of critical behaviors of elliptic and hyperbolic quadratic algebraic equations with variable coefficients [PDF]
INCAS Bulletin, 2015 A comparison of the behaviours of the elliptic with those of hyperbolic quadratic algebraic equations (QAEs) with free and linear variable coefficients, in vicinity of their critical surfaces is made.
Adriana NASTASE
doaj +1 more source
Viscosity subsolutions and supersolutions for non-uniformly and degenerate elliptic equations [PDF]
, 1992 summary:In the present paper we study the Dirichlet boundary value problem for quasilinear elliptic equations including non-uniformly and degenerate ones. In particular, we consider mean curvature equation and pseudo p-Laplace equation as well.
Michael G. Crandall +3 more
core +1 more source
Nonlinear degenerate elliptic equations with measure data [PDF]
, 2007 summary:In this paper we prove existence results for some nonlinear degenerate elliptic equations with data in the space of bounded Radon measures and we improve the results already obtained in Cirmi G.R., {\it On the existence of solutions to non-linear
Li, Fengquan
core
The Riemann-Hilbert problem for degenerate elliptic complex equations and its application
, 2014 This article deals with some elliptic complex equations of first order, i.e. the generalized Beltrami equation with two degenerate lines in multiply connected domains.
Wen, Guochun
core +1 more source
The Dirichlet problem for fully nonlinear degenerate elliptic equations with a singular nonlinearity [PDF]
, 2019 We investigate the homogeneous Dirichlet problem in uniformly convex domains for a large class of degenerate elliptic equations with singular zero order term.
Galise G., Birindelli I.
core +1 more source
Annals 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
On Removable Sets for Degenerated Elliptic Equations
Ukrainian Mathematical Journal, 2013 Under consideration is the Dirichlet problem for an elliptic equation \[ -\sum_{i,j=1}^{n}\partial_{x_{j}} a_{ij}(x)\partial_{x_{i}} u =f, \;\;x\in G\subset {\mathbb R}^{n}. \eqno{(1)} \] The corresponding quadratic form is degenerate in the sense that there exists a positive constant \(\gamma>0\) such that \[ \gamma\sum_{i=1}|\xi_{i}|^{2}\lambda_{i}(x)
Gadjiev, T.S., Bayramova, N.Q.
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Annals 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
Advanced Engineering Materials, EarlyView.This study presents an infrared monitoring approach for direct laser interference patterning (DLIP) combined with a convolutional neural network (CNN). Thermal emission data captured during structuring are used to predict surface topography parameters.
Lukas Olawsky +5 more
wiley +1 more source