Elliptic boundary value problem in Vanishing Mean Oscillation hypothesis

@inproceedings{Ragusa2010EllipticBV,
  title={Elliptic boundary value problem in Vanishing Mean Oscillation hypothesis},
  author={Maria Alessandra Ragusa},
  year={2010}
}
In this note the well-posedness of the Dirichlet problem (1.2) below is proved in the class H 0 (Ω) for all 1 < p < ∞ and, as a consequence, the Hölder regularity of the solution u. L is an elliptic second order operator with discontinuous coefficients (V MO) and the lower order terms belong to suitable Lebesgue spaces. 

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References

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Showing 1-10 of 37 references

Estimates for divergence form elliptic equations with discontinuous coefficients, Boll. U.M.I

  • G. L Di Fazio
  • 1996
Highly Influential
3 Excerpts

solvability of the Dirichlet problem for nondivergence elliptic equations with V

  • F. Chiarenza, M. Frasca, P. W Longo
  • MO coefficients, Trans. Amer. Math. Soc
  • 1993
Highly Influential
2 Excerpts

Interior W 2,p estimates for non-divergence elliptic equations with discontinuous coefficients

  • F. Chiarenza, M. Frasca, P. Longo
  • Ricerche Mat
  • 1991
Highly Influential
2 Excerpts

Le probléme de Dirichlet pour les équations elliptiques du second ordre á coefficients discontinuous

  • G. Stampacchia
  • Ann. Inst. Fourier
  • 1965
Highly Influential
5 Excerpts

Contributi alla regolarizzazione delle soluzioni dei problemi al contorno per equazioni del secondo ordine ellittiche, Ann

  • G. Stampacchia
  • Scuola Norm. Sup. Pisa (3)
  • 1958
Highly Influential
5 Excerpts

L p Estimates for divergence form elliptic equations with discontinuous coefficients

  • A. Friedman
  • Boll . U . M . I .
  • 1996

W 2 , p - solvability of the Dirichlet problem for nondi - vergence elliptic equations with VMO coefficients

  • F. Chiarenza, M. Frasca, P. Longo
  • Trans . Amer . Math . Soc .
  • 1993

Some properties of bounded mean oscillation

  • U. Neri
  • Studia Math
  • 1977
1 Excerpt

Factorization theorems for Hardy spaces in several variables

  • R. Coifman, R. Rochberg, G. Weiss
  • Ann. of Math
  • 1976
1 Excerpt

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