Results 1  10
of
5,337
The Dirichlet problem for elliptic equations in the plane
, 2005
"... Abstract. In this paper an existence and uniqueness theorem for the Dirichlet problem in W 2,p for second order linear elliptic equations in the plane is proved. The leading coefficients are assumed here to be of class VMO. ..."
Abstract
 Add to MetaCart
Abstract. In this paper an existence and uniqueness theorem for the Dirichlet problem in W 2,p for second order linear elliptic equations in the plane is proved. The leading coefficients are assumed here to be of class VMO.
Elliptic equations in weighted Sobolev spaces on unbounded domains,
 Int. J. Math. Math. Sci.,
, 2008
"... We study in this paper a class of secondorder linear elliptic equations in weighted Sobolev spaces on unbounded domains of R n , n ≥ 3. We obtain an a priori bound, and a regularity result from which we deduce a uniqueness theorem. ..."
Abstract

Cited by 3 (2 self)
 Add to MetaCart
We study in this paper a class of secondorder linear elliptic equations in weighted Sobolev spaces on unbounded domains of R n , n ≥ 3. We obtain an a priori bound, and a regularity result from which we deduce a uniqueness theorem.
COMPACTNESS METHODS FOR HÖLDER ESTIMATES OF CERTAIN DEGENERATE ELLIPTIC EQUATIONS
"... Abstract. In this paper we obtain the interior C 1,α regularity of the quasilinear elliptic equations of divergence form. Our basic tools are the elementary local L ∞ estimates and weak Harnack inequality for secondorder linear elliptic equations, and the compactness method. 1. ..."
Abstract
 Add to MetaCart
Abstract. In this paper we obtain the interior C 1,α regularity of the quasilinear elliptic equations of divergence form. Our basic tools are the elementary local L ∞ estimates and weak Harnack inequality for secondorder linear elliptic equations, and the compactness method. 1.
Elliptic Equations
"... V V)%AV '* The Cauchy problem for various types of second order nonlinear elliptic equations is considered. A substitution veu in the equation leads to a perturbed equation whose solution is compared to an appropriate solution of an unperturbed second order linear elliptic equation obtained ..."
Abstract
 Add to MetaCart
V V)%AV '* The Cauchy problem for various types of second order nonlinear elliptic equations is considered. A substitution veu in the equation leads to a perturbed equation whose solution is compared to an appropriate solution of an unperturbed second order linear elliptic equation obtained
Research Article Solvability of the Dirichlet Problem for Elliptic Equations in Weighted Sobolev Spaces on Unbounded Domains
, 2008
"... This paper is concerned with the study of the Dirichlet problem for a class of secondorder linear elliptic equations in weighted Sobolev spaces on unbounded domains of Rn, n ≥ 3. We state a regularity result and we can deduce an existence and uniqueness theorem. Copyright q 2008 Serena Boccia et al ..."
Abstract
 Add to MetaCart
This paper is concerned with the study of the Dirichlet problem for a class of secondorder linear elliptic equations in weighted Sobolev spaces on unbounded domains of Rn, n ≥ 3. We state a regularity result and we can deduce an existence and uniqueness theorem. Copyright q 2008 Serena Boccia et
doi:10.1155/2008/582435 Research Article Elliptic Equations in Weighted Sobolev Spaces on Unbounded Domains
"... We study in this paper a class of secondorder linear elliptic equations in weighted Sobolev spaces on unbounded domains of Rn, n ≥ 3. We obtain an a priori bound, and a regularity result from which we deduce a uniqueness theorem. Copyright q 2008 Serena Boccia et al. This is an open access article ..."
Abstract
 Add to MetaCart
We study in this paper a class of secondorder linear elliptic equations in weighted Sobolev spaces on unbounded domains of Rn, n ≥ 3. We obtain an a priori bound, and a regularity result from which we deduce a uniqueness theorem. Copyright q 2008 Serena Boccia et al. This is an open access article
A Note on the LeastSquares Finite Elements for Mixed Elliptic Problems
, 1997
"... A theoretical analysis of the mixed leastsquares finite element approximations to Dirichlet problem for secondorder linear elliptic equations with variable coefficients in bounded domains is presented. Three different leastsquares functionals are introduced and the coercivity of the correspond ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
A theoretical analysis of the mixed leastsquares finite element approximations to Dirichlet problem for secondorder linear elliptic equations with variable coefficients in bounded domains is presented. Three different leastsquares functionals are introduced and the coercivity
1 2 A Note on the Least{Squares Finite Elements for Mixed Elliptic Problems
"... Abstract. A theoretical analysis of the mixed least{squares nite element approximations to Dirichlet problem for second{order linear elliptic equations with variable coe cients in bounded domains is presented. Three di erent leastsquares functionals are introduced and the coercivity of the correspo ..."
Abstract
 Add to MetaCart
Abstract. A theoretical analysis of the mixed least{squares nite element approximations to Dirichlet problem for second{order linear elliptic equations with variable coe cients in bounded domains is presented. Three di erent leastsquares functionals are introduced and the coercivity
Strongly Elliptic Systems and Boundary Integral Equations
, 2000
"... Partial differential equations provide mathematical models of many important problems in the physical sciences and engineering. This book treats one class of such equations, concentrating on methods involving the use of surface potentials. It provides the first detailed exposition of the mathematic ..."
Abstract

Cited by 501 (0 self)
 Add to MetaCart
of the mathematical theory of boundary integral equations of the first kind on nonsmooth domains. Included are chapters on three specific examples: the Laplace equation, the Helmholtz equation and the equations of linear elasticity. The book is designed to provide an ideal preparation for studying the modern
Results 1  10
of
5,337