The capacity method for asymptotic Dirichlet problems

Asymptotic Analysis

Volumn 15, Issue 3-4, 1997, Pages 299-324

  Dal Maso, G ^a   Garroni, A ^a  

^a SISSA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002154831     PISSN: 09217134     EISSN: None     Source Type: Journal    
DOI: 10.3233/asy-1997-153-405     Document Type: Article

References (15)

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2. G. Buttazzo, G. Dal Maso and U. Mosco, A derivation theorem for capacities with respect to a Radon measure, J. Funct. Anal. 71 (1987), 263-278.
3. G. Dal Maso, On the integral representation of certain local functionals, Ricerche Mat. 32 (1983), 85-113.
4. G. Dal Maso, Γ-convergence and μ-capacities, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 14 (1987), 423-464.
5. G. Dal Maso, An Introduction to Γ-Convergence, Birkhäuser, Boston, 1993.
6. G. Dal Maso and A. Garroni, New results on the asymptotic behavior of Dirichlet problems in perforated domains, Math. Mod. Meth. Appl. Sci. 4 (1994), 373-407.
7. G. Dal Maso and A. Garroni, Capacity theory for non-symmetric elliptic operators, Preprint SISSA, Trieste, 1993.
8. G. Dal Maso and A. Malusa, Approximation of relaxed Dirichlet problems by boundary value problems in perforated domains, Proc. Roy. Soc. Edinburgh Sect. A 125 (1995), 99-114.
9. G. Dal Maso and U. Mosco, Wiener criteria and energy decay for relaxed Dirichlet problems, Arch. Rational Mech. Anal. 95 (1986), 345-387.
10. G. Dal Maso and U. Mosco, Wiener's criterion and Γ-convergence, Appl. Math. Optim. 15 (1987), 15-63.
11. G. Dal Maso and F. Murat, Asymptotic behaviour and correctors for Dirichlet problems in perforated domains with homogeneous monotone operators, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (to appear).
12. D. Kinderlehrer and G. Stampacchia, An Introduction to Variational Inequalities and Their Applications, Academic Press, New York, 1980.
13. Z.M. Ma and M. Röckner, Introduction to the Theory of (Non-Symmetric) Dirichlet Forms, Springer, Berlin, 1992.
14. G. Stampacchia, Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus, Ann. Inst. Fourier (Grenoble) 15 (1965), 189-258.
15. W.P. Ziemer, Weakly Differentiable Functions, Springer, Berlin, 1989.