Publication Cover
Applicable Analysis
An International Journal
Volume 36, 1990 - Issue 1-2
24
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

Asymptotic behaviour of quasi-linear problems with neumann boundary conditions on perforated domains

&
Pages 65-87 | Received 01 Aug 1989, Published online: 02 May 2007

References

  • Acerbi , E. and PERCIVALE , D. 1988 . Homogenization of noncoercive functionals: periodic materials with soft inclusions . Appl. Math. Optim , 17 : 91 – 102 .
  • Chiado piat , V. 1988 . Convergence of minima for non equicoercive functionals and related problems . Ann. Mat. Pura Appl , 4
  • Chiado piat , V. , DAL MASO , G. and DEFRANCESCHI , A. 1988 . G-convergence of monotone operators . Ann. Inst. H. Poincard. Anal. Non Lineaire , 4
  • Cioranescu , D. and DONATO , P. 1988 . Homog6n6isation du probleme de Neumann non homogene des ouverts performs . Asymptotic Analysis , 4
  • Cioranescu , D. and J.SAINT JEAN , Paulin . 1977 . Homogeneieisation dans des ouverts a cavites . C. R. Acad. Sci. Paris Ser , A284 : 857 – 860 .
  • Cioranescu , D. and J. SAINT JEAN , Paulin . 1979 . Homogenization in open sets with holes . L.Math. Anal. Appl , 21 : 590 – 607 .
  • Conca , C. and DONATO , P. 1987 . Non homogeneous Neumann’s problems in domains with small holes , Paris : Univ. Pierre et Marie Curie .
  • Donato , P. and MOSCARIELLO , G. 1988 . On the homogenization of some nonlinear problems in perforated domains , Napoli : Univ. Napoli .
  • losifyan , G.A. , OLEINIK , O.A. and SHAMAEV , A.S. 1983 . Averaging of the eigenvalues and eigenfunctions of a boundary-value problem of elasticity theory in a perforated domain . Math. Bull , 38 : 58 – 69 .
  • Khruslov , E.Ya . 1979 . The asymptotic behavior of solutions of the second boundary value problem under fragmentation of the boundary of the domain . Math. USSR-Sb , 21 : 266 – 282 .
  • Lions , J.L. 1980 . Asymptotic expansions in perforated media with a periodic structure . Rocky Mountain J. Math , 10 : 125 – 140 .
  • Mortola , S. and PROFETI , A. 1982 . On the convergence of the minimum points of non equicoercive quadratic functionals . Comm. Partial Differential Equations , 2 : 645 – 673 .
  • Oleinik , O. and lOSIFYAN , G.A. 1982 . An estimate of the deviation of solution of the system of elasticity theory in a perforated domain from the solution of the averaged system . Math. Surveys , 22 : 195 – 196 .
  • Oleinik , O. , lOSIFYAN , G.A. and PANASENKO , P.A. 1983 . Asymptotic expansion of solutions of a system of elasticity theory in a perforated domain . Math. USSR-Sb , 120 : 22 – 41 .
  • Oleinik , O.A. , PANASENKO , G.P. and lOSIFYAN , G.A. 1983 . Homogenization and asymptotic expansions for solutions of the elasticity system with rapidly oscillating periodic coefficients . Applicable Anal , 15 : 15 – 32 .
  • Shamaev , A.S. 1982 . Averaging of solutions and eigenvalues for boundary value problems for elliptic equations in perforated domains . Math. Surveys , 32 : 253 – 254 .
  • Tartar , L. 1981 . Homogenisation d’opeiateurs monotonese
  • Vanninathan , M. 1978 . Homog6n6isation des valeurs propres dans les milieux performs . C. R. Acad.Sci.Paris.Ser , 287 : 403 – 406 .
  • Vanninathan , M. 1981 . Homogeneization of eigenvalue problems in perforated domains . Proc. Indian Acad, Set. Math, sci , 90 : 239 – 271 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.