Results 11 to 20 of about 5,143 (265)

Second Order Regularity for a Linear Elliptic System Having BMO Coefficients [PDF]

Milan Journal of Mathematics, 2021
AbstractWe consider linear elliptic systems whose prototype is$$\begin{aligned} div \, \Lambda \left[ \,\exp (-|x|) - \log |x|\,\right] I \, Du = div \, F + g \text { in}\, B. \end{aligned}$$divΛexp(-|x|)-log|x|IDu=divF+ginB.HereBdenotes the unit ball of$$\mathbb {R}^n$$Rn, for$$n > 2$$n>2, centered in the origin,Iis the identity matrix,Fis a ...
Moscariello G., Pascale G.
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Singular Integral Operators and Elliptic Boundary-Value Problems. I

Современная математика: Фундаментальные направления, 2017
The book consists of three Parts I-III and Part I is presented here. In this book, we develop a new approach mainly based on the authors papers. Many results are published here for the first time. Chapter 1 is introductory.
Alexandre P Soldatov
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Existence of Three Solutions for Nonlinear Operator Equations and Applications to Second-Order Differential Equations

Journal of Function Spaces, 2021
The existence of three solutions for nonlinear operator equations is established via index theory for linear self-adjoint operator equations, critical point reduction method, and three critical points theorems obtained by Brezis-Nirenberg, Ricceri, and ...
Mingliang Song, Shuyuan Mei
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Slate: extending Firedrake's domain-specific abstraction to hybridized solvers for geoscience and beyond [PDF]

Geoscientific Model Development, 2020
Within the finite element community, discontinuous Galerkin (DG) and mixed finite element methods have become increasingly popular in simulating geophysical flows.
T. H. Gibson, L. Mitchell, D. A. Ham, C. J. Cotter   +3 more
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FREDHOLM AND PROPERNESS PROPERTIES OF QUASILINEAR ELLIPTIC SYSTEMS OF SECOND ORDER [PDF]

Proceedings of the Edinburgh Mathematical Society, 2005
AbstractFor a large class of subsets $\varOmega\subset\mathbb{R}^{N}$ (including unbounded domains), we discuss the Fredholm and properness properties of second-order quasilinear elliptic operators viewed as mappings from $W^{2,p}(\varOmega;\mathbb{R}^{m})$ to $L^{p}(\varOmega;\mathbb{R}^{m})$ with $N\ltp\lt\infty$ and $m\geq1$.
Gebran, Hicham Georges, Stuart, Charles Alexander   +1 more
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On the regularity up to the boundary for second order nonlinear elliptic systems [PDF]

Pacific Journal of Mathematics, 1982
In several earlier papers, the first two authors have shown that the question of interior regularity for solutions of boundary value problems for second-order nonlinear elliptic systems is equivalent (in some sense) to a certain Liouville property. The present paper demonstrates that a similar result is true for regularity up to the boundary of the ...
Giaquinta, M., Nečas, J., John, O., Stará, J.   +3 more
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Nonzero Positive Solutions of Elliptic Systems with Gradient Dependence and Functional BCs

Advanced Nonlinear Studies, 2020
We discuss, by topological methods, the solvability of systems of second-order elliptic differential equations subject to functional boundary conditions under the presence of gradient terms in the nonlinearities.
Biagi Stefano, Calamai Alessandro, Infante Gennaro   +2 more
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On Boundary Value Problems for Elliptic Systems of Second-Order Equations in Divergence Form [PDF]

Учёные записки Казанского университета: Серия Физико-математические науки, 2015
Solvability conditions of various boundary value problems for elliptic systems of second-order equations in divergence form are adduced. The effect of domain shape on the solvability of nonclassical problems of rigid contact and normal load is ...
M.M. Karchevsky, R.R. Shagidullin
doaj  

A finite difference method for nonlinear parabolic-elliptic systems of second order partial differential equations [PDF]

Opuscula Mathematica, 2007
This paper deals with a finite difference method for a wide class of weakly coupled nonlinear second-order partial differential systems with initial condition and weakly coupled nonlinear implicit boundary conditions.
Marian Malec, Lucjan Sapa
doaj  

Optimal Interior Partial Regularity for Nonlinear Elliptic Systems for the Case 1<m<2 under Natural Growth Condition

Journal of Inequalities and Applications, 2010
We consider the interior regularity for weak solutions of second-order nonlinear elliptic systems with subquadratic growth under natural growth condition.
Shuhong Chen, Zhong Tan
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