Homogenization of general quasi-linear Dirichlet problems with quadratic growth in perforated domains

被引：14

作者：

CasadoDiaz, J

机构：

[1] Depto. Ecuaciones Diferenciales A., Universidad de Sevilla, Facultad de Matemáticas, 41012 Sevilla, C. Tarfía s/n

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 1997年 / 76卷 / 05期

关键词：

D O I：

10.1016/S0021-7824(97)89958-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the homogenization of a Dirichlet problem in perforated domains for an operator which is the perturbation of the Laplace operator by a general nonlinear term with quadratic growth in the gradient. We show that a new term, which does not depend on the gradient, but which is nonlinear, appears in the limit problem. We also give a corrector result.

引用

页码：431 / 476

页数：46

共 50 条

[21] HOMOGENIZATION OF EIGENVALUE PROBLEMS IN PERFORATED DOMAINS
VANNINATHAN, M
[J]. PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 1981, 90 (03): : 239 - 271
[22] HOMOGENIZATION OF EIGENVALUE PROBLEMS IN PERFORATED DOMAINS
VANNINATHAN, M
[J]. COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1978, 287 (12): : 823 - 825
[23] An effect of double homogenization for Dirichlet problems in variable domains of general structure
Kovalevsky, A
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1999, 328 (12): : 1151 - 1156
[24] Homogenization of bounded solutions of elliptic equations with quadratic growth in periodically perforated domains
Donato, P
Gaudiello, A
Sgambati, L
[J]. ASYMPTOTIC ANALYSIS, 1998, 16 (3-4) : 223 - 243
[25] Discontinuous oblique derivative problems for second order quasi-linear mixed equations in general domains
Ma, ZT
Ma, DT
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2004, 153 (02) : 577 - 585
[26] Homogenization of quadratic convolution energies in periodically perforated domains
Braides, Andrea
Piatnitski, Andrey
[J]. ADVANCES IN CALCULUS OF VARIATIONS, 2022, 15 (03) : 351 - 368
[27] FINITE DIMENSIONAL ANALOGUES OF QUASI-LINEAR ELLIPTIC DIRICHLET PROBLEMS IN PLANE
STEPLEMA.RS
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 17 (01): : 192 - &
[28] PERTURBED QUASI-LINEAR DIRICHLET PROBLEMS WITH ISOLATED TURNING-POINTS
DESANTI, AJ
[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1987, 12 (02) : 223 - 242
[29] DIFFERENCE ANALOGUES OF QUASI-LINEAR ELLIPTIC DIRICHLET PROBLEMS WITH MIXED DERIVATIVES
STEPLEMAN, RS
[J]. MATHEMATICS OF COMPUTATION, 1971, 25 (114) : 257 - +
[30] QUASI-LINEAR ELLIPTIC-EQUATIONS WITH QUADRATIC GROWTH IN THE GRADIENT
MADERNA, C
PAGANI, CD
SALSA, S
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1992, 97 (01) : 54 - 70

← 1 2 3 4 5 →