Results 31 to 40 of about 142,315 (286)
Boundary regularity for elliptic systems under a natural growth condition [PDF]
, 2010 We consider weak solutions $u \in u_0 + W^{1,2}_0(\Omega,R^N) \cap L^{\infty}(\Omega,R^N)$ of second order nonlinear elliptic systems of the type $- div a (\cdot, u, Du) = b(\cdot,u,Du)$ in $\Omega$ with an inhomogeneity satisfying a natural growth ...
Beck, Lisa
core +3 more sources
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
The higher order regularity Dirichlet problem for elliptic systems in the upper-half space
, 2014 We identify a large class of constant (complex) coefficient, second order elliptic systems for which the Dirichlet problem in the upper-half space with data in $L^p$-based Sobolev spaces ...
Martell, José María +3 more
core +1 more source
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 G., Stuart, Charles A.
openaire +2 more sources
The Green function estimates for strongly elliptic systems of second order
, 2007 We establish existence and pointwise estimates of fundamental solutions and Green's matrices for divergence form, second order strongly elliptic systems in a domain $\Omega \subseteq \mathbb{R}^n$, $n \geq 3$, under the assumption that solutions of the ...
Hofmann, Steve, Kim, Seick
core +4 more sources
Whole Business Securitization: Secured Lending Repackaged?: A Comment on Hill [PDF]
, 2002 We study certain generalized Cauchy integral formulas for gradients of solutions to second order divergence form elliptic systems, which appeared in recent work by P. Auscher and A. Rosén.
Kothari, Vinod
core +2 more sources
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
doaj +1 more source
, 2007 We study Green's matrices for divergence form, second order strongly elliptic systems with bounded measurable coefficients in two dimensional domains.
Dong, Hongjie, Kim, Seick
core +2 more sources
, 2007 Auscher, McIntosh and Tchamitchian studied the heat kernels of second order elliptic operators in divergence form with complex bounded measurable coefficients on $\mathbb{R}^n$.
Kim, Seick
core +2 more sources
On elliptic boundary value problems on upper half-planey [PDF]
, 2005 The boundary value problems for elliptic systems of the second order with leading and constant coefficients are considered in a half-plane.
Soldatov, A.
core +1 more source