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Wiener criteria and energy decay for relaxed dirichlet problems

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References

  1. M. Aizenman & B. Simon: Brownian motion and Harnack inequality for Schrödinger operators. Comm. Pure Appl. Math. 35 (1982), 209–273.

    Google Scholar 

  2. G. Dal Maso & U. Mosco: Wiener's criterion and Γ-convergence. J. Appl. Math. Optim. (to appear).

  3. G. Dal Maso & U. Mosco: The Wiener modulus of a radial measure. Houston J. Math. (to appear).

  4. J. Frehse & U. Mosco: Wiener obstacles. In “Nonlinear partial differential equations and their applications”, Collège de France Seminar, Vol. 6, Ed. H. Brezis & J. L. Lions, Research Notes in Math., Pitman (1984).

  5. H. Federer & W. Ziemer: The Lebesgue set of a function whose distribution derivatives are p-th power summable. Indiana Univ. Math. J. 22 (1972), 139–158.

    Google Scholar 

  6. T. Kato: Schrödinger operators with singular potentials. Israel J. Math. 13 (1973), 135–148.

    Google Scholar 

  7. N. S. Landkof: Foundations of modern potential theory, Springer-Verlag, Berlin, Heidelberg, New York, 1972.

    Google Scholar 

  8. W. Littman, G. Stampacchia, & H. Weinberger: Regular points for elliptic equations with discontinuous coefficients. Ann. Scuola Norm. Sup. Pisa 17 (1963), 45–79.

    Google Scholar 

  9. V. G. Maz'ja: Behavior near the boundary of solutions of the Dirichlet problem for a second order elliptic equation in divergence form. Mat. Zametki 2 (1967), 209–220; Math. Notes 2 (1967), 610–617.

    Google Scholar 

  10. U. Mosco: Pointwise potential estimates for elliptic obstacle problems. Proc. of AMS Symposia in Pure Mathematics 44 (1985).

  11. U. Mosco: Wiener criterion and potential estimates for the obstacle problem. Indiana Univ. Math. J. (to appear).

  12. G. Stampacchia: Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus. Ann. Inst. Fourier (Grenoble) 15 (1965), 189–258.

    Google Scholar 

  13. N. Wiener: The Dirichlet problem. J. Math, and Phys. 3 (1924), 127–146.

    Google Scholar 

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Authors and Affiliations

  1. Istituto di Matematica, Università di Udine, Italy

    Gianni Dal Maso & Umberto Mosco

  2. Dipartimento di Matematica, Università di Roma, Italy

    Gianni Dal Maso & Umberto Mosco

Authors
  1. Gianni Dal Maso
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  2. Umberto Mosco
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Communicated by H. Brezis

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Dal Maso, G., Mosco, U. Wiener criteria and energy decay for relaxed dirichlet problems. Arch. Rational Mech. Anal. 95, 345–387 (1986). https://doi.org/10.1007/BF00276841

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