Limit behaviour of thin insulating layers around multiconnected domains

Mohamed Boutkrida; Nathalie Grenon; Jacqueline Mossino; Gonoko Moussa

Annales de l'I.H.P. Analyse non linéaire (2002)

  • Volume: 19, Issue: 1, page 13-40
  • ISSN: 0294-1449

How to cite

top

Boutkrida, Mohamed, et al. "Limit behaviour of thin insulating layers around multiconnected domains." Annales de l'I.H.P. Analyse non linéaire 19.1 (2002): 13-40. <http://eudml.org/doc/78537>.

@article{Boutkrida2002,
author = {Boutkrida, Mohamed, Grenon, Nathalie, Mossino, Jacqueline, Moussa, Gonoko},
journal = {Annales de l'I.H.P. Analyse non linéaire},
language = {eng},
number = {1},
pages = {13-40},
publisher = {Elsevier},
title = {Limit behaviour of thin insulating layers around multiconnected domains},
url = {http://eudml.org/doc/78537},
volume = {19},
year = {2002},
}

TY - JOUR
AU - Boutkrida, Mohamed
AU - Grenon, Nathalie
AU - Mossino, Jacqueline
AU - Moussa, Gonoko
TI - Limit behaviour of thin insulating layers around multiconnected domains
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2002
PB - Elsevier
VL - 19
IS - 1
SP - 13
EP - 40
LA - eng
UR - http://eudml.org/doc/78537
ER -

References

top
  1. [1] Acerbi E., Buttazzo G., Reinforcement problems in the calculus of variations, Ann. Inst. Henri Poincaré3 (4) (1986) 273-284. Zbl0607.73018MR853383
  2. [2] Attouch H., Variational Convergence for Functions and Operators, Pitman, London, 1984. Zbl0561.49012MR773850
  3. [3] Boutkrida M., Doctoral Thesis, Ecole Normale Supérieure de Cachan, France, 1999. 
  4. [4] Boutkrida M., Mossino J., Moussa G., On nonhomogeneous reinforcements of varying shape and different exponents, Bolletino U.M.I.2-B (8) (1999) 517-536, See also C. R. Acad. Sci. Paris, Série I 235 (1997) 565–570. Zbl0894.49007MR1719574
  5. [5] Boutkrida M., Mossino J., Moussa G., On the torsional rigidity problem with nonhomogeneous reinforcement, Ricerche di Matematica (Supplemento)XLVIII (1999) 1-24. Zbl0951.74051MR1765676
  6. [6] Brezis H., Caffarelli L.A., Friedman A., Reinforcement problems for elliptic equations and variational inequalities, Ann. Mat. Pura Appl.123 (4) (1980) 219-246. Zbl0434.35079MR581931
  7. [7] Buttazzo G., Kohn R.V., Reinforcement by a thin layer with oscillating thickness, Appl. Math. Optim.16 (1987) 247-261. MR901816
  8. [8] Buttazzo G., Dal Maso G., Mosco U., Asymptotic behaviour for Dirichlet problems in domains bounded by thin layers, in: Essays in Honor of Ennio De Giorgi, Birkhaüser, Boston, 1989, pp. 193-249. Zbl0699.35062MR1034006
  9. [9] Dal Maso G., An Introduction to Γ-convergence, Birkhäuser, Boston, 1993. Zbl0816.49001
  10. [10] De Giorgi E., Convergence problems for functionals and operators, in: De Giorgi E., Magenes E., Mosco U., Lions J.L. (Eds.), Proc. “Recent Methods in Nonlinear Analysis”, Rome, 1978, Pitagora, Bologna, 1979, pp. 131-188. Zbl0405.49001
  11. [11] Mossino J., Vanninathan M., Reinforcement of a multiconnected domain by a thin layer of oscillating thickness, to appear. Zbl1028.35019
  12. [12] Moussa G., Doctoral Thesis, Ecole Normale Supérieure de Cachan, France, 1998. 
  13. [13] Sanchez-Palencia E., Problèmes de perturbations liés aux phénomènes de conduction à travers des couches minces de grande résistivité, J. Math. Pures Appl.53 (9) (1974) 251-269. Zbl0273.35007MR364917
  14. [14] Sanchez-Palencia E., Nonhomogeneous Media and Vibration Theory, Lectures Notes in Physics, Springer Verlag, Berlin, 1980. Zbl0432.70002MR578345

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.