Asymptotic expansions and numerical algorithms of eigenvalues and eigenfunctions of the Dirichlet problem for second order elliptic equations in perforated domains

Jun-Zhi Cui; Li-Qun Cao

doi:10.1007/s00211-003-0468-7

Asymptotic expansions and numerical algorithms of eigenvalues and eigenfunctions of the Dirichlet problem for second order elliptic equations in perforated domains

Numerische Mathematik ◽

10.1007/s00211-003-0468-7 ◽

2004 ◽

Vol 96 (3) ◽

pp. 525-581 ◽

Cited By ~ 47

Author(s):

Jun-Zhi Cui ◽

Li-Qun Cao

Keyword(s):

Dirichlet Problem ◽

Asymptotic Expansions ◽

Elliptic Equations ◽

Numerical Algorithms ◽

Second Order ◽

Eigenvalues And Eigenfunctions ◽

Perforated Domains ◽

Second Order Elliptic Equations

Properties of a solution of the Dirichlet problem for second-order elliptic equations in a class of domains with nonsmooth boundary. I

Lithuanian Mathematical Journal ◽

10.1007/bf00966149 ◽

1987 ◽

Vol 26 (2) ◽

pp. 153-163

Author(s):

K. Pileckas ◽

K. Samaitis

Keyword(s):

Dirichlet Problem ◽

Elliptic Equations ◽

Second Order ◽

Nonsmooth Boundary ◽

Second Order Elliptic Equations

The Dirichlet Problem for Two-Dimensional Quasi-Linear Second-Order Elliptic Equations

Linear Operators and Operator Equations ◽

10.1007/978-1-4757-0013-8_7 ◽

1971 ◽

pp. 115-125

Author(s):

N. M. Ivochkina

Keyword(s):

Dirichlet Problem ◽

Elliptic Equations ◽

Second Order ◽

Two Dimensional ◽

Second Order Elliptic Equations

The Behavior of Solutions to the Dirichlet Problem for Second Order Elliptic Equations with Variable Nonlinearity Exponent in a Neighborhood of a Conical Boundary Point

Journal of Mathematical Sciences ◽

10.1007/s10958-015-2570-7 ◽

2015 ◽

Vol 210 (4) ◽

pp. 341-370 ◽

Cited By ~ 3

Author(s):

Yu. Alkhutov ◽

M. V. Borsuk

Keyword(s):

Dirichlet Problem ◽

Boundary Point ◽

Elliptic Equations ◽

Second Order ◽

Second Order Elliptic Equations

Properties of the solution of the dirichlet problem for second-order elliptic equations in a class of domains with nonsmooth boundary. II

Lithuanian Mathematical Journal ◽

10.1007/bf00966150 ◽

1987 ◽

Vol 26 (2) ◽

pp. 164-172

Author(s):

K. Pileckas ◽

K. Samaitis

Keyword(s):

Dirichlet Problem ◽

Elliptic Equations ◽

Second Order ◽

Nonsmooth Boundary ◽

Second Order Elliptic Equations

The Dirichlet problem for nonlinear second order elliptic equations, III: Functions of the eigenvalues of the Hessian

Acta Mathematica ◽

10.1007/bf02392544 ◽

1985 ◽

Vol 155 (0) ◽

pp. 261-301 ◽

Cited By ~ 312

Author(s):

L. Caffarelli ◽

L. Nirenberg ◽

J. Spruck

Keyword(s):

Dirichlet Problem ◽

Elliptic Equations ◽

Second Order ◽

Second Order Elliptic Equations

Solvability of the Dirichlet problem for second-order elliptic equations

Theoretical and Mathematical Physics ◽

10.1007/s11232-014-0188-4 ◽

2014 ◽

Vol 180 (2) ◽

pp. 917-931 ◽

Cited By ~ 10

Author(s):

V. Zh. Dumanyan

Keyword(s):

Dirichlet Problem ◽

Elliptic Equations ◽

Second Order ◽

Second Order Elliptic Equations

Remarks on the Uniqueness of a Solution of the Dirichlet Problem for Second-Order Elliptic Equations with Lower-Order Terms

Functional Analysis and Its Applications ◽

10.1023/b:faia.0000042802.86050.5e ◽

2004 ◽

Vol 38 (3) ◽

pp. 173-183 ◽

Cited By ~ 18

Author(s):

V. V. Zhikov

Keyword(s):

Dirichlet Problem ◽

Lower Order ◽

Elliptic Equations ◽

Second Order ◽

Second Order Elliptic Equations ◽

Lower Order Terms ◽

Uniqueness Of A Solution

On Dirichlet problem for second order elliptic equations

Nonlinear Analysis ◽

10.1016/0362-546x(90)90062-l ◽

1990 ◽

Vol 14 (7) ◽

pp. 559-570 ◽

Cited By ~ 2

Author(s):

A. Alvino ◽

P. Buonocore ◽

G. Trombetti

Keyword(s):

Dirichlet Problem ◽

Elliptic Equations ◽

Second Order ◽

Second Order Elliptic Equations

Uniform approximation by polynomial solutions of second-order elliptic equations, and the corresponding Dirichlet problem

Proceedings of the Steklov Institute of Mathematics ◽

10.1134/s0081543806020064 ◽

2006 ◽

Vol 253 (1) ◽

pp. 57-70 ◽

Cited By ~ 1

Author(s):

A. B. Zaitsev

Keyword(s):

Dirichlet Problem ◽

Uniform Approximation ◽

Elliptic Equations ◽

Second Order ◽

Polynomial Solutions ◽

Second Order Elliptic Equations

Nonlinear second-order elliptic equations V. The dirichlet problem for weingarten hypersurfaces

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.3160410105 ◽

1988 ◽

Vol 41 (1) ◽

pp. 47-70 ◽

Cited By ~ 62

Author(s):

Luis Caffarelli ◽

Louis Nirenberg ◽

Joel Spruck

Keyword(s):

Dirichlet Problem ◽

Elliptic Equations ◽

Second Order ◽

Second Order Elliptic Equations