Oblique derivative problem for uniformly elliptic operators with VMO coefficients and applications;Problème de dérivée oblique pour des opérateurs uniformément elliptiques à coefficients VMO et applications

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 327, Issue 1, 1998, Pages 53-58

  Maugeri, Antonino ^c   Palagachev, Dian K ^a   Vitanza, Carmela ^b  

^a UNIVERSITY OF CHEMICAL TECHNOLOGY AND METALLURGY   (Bulgaria)

^b UNIVERSITY OF MESSINA   (Italy)

^c NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032109091     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(98)80102-X     Document Type: Article

References (10)

1. 2,p-solvability of the Dirichlet problem for non divergence elliptic equations with VMO coefficients, Trans. Amer. Math. Soc. 336 (1993) 841-853.
2. [2] Di Fazio G., Palagachev D.K., Oblique derivative problem for elliptic equations in non-divergence form with VMO coefficients, Comment. Math. Univ. Carolinae 37 (1996) 537-556.
3. [3] Egorov Yu.V., Linear Differential Equations of Principal Type, Contemporary Soviet Mathematics, New York, 1986.
4. [4] Gilbarg D., Trudinger N.S., Elliptic Differential Equations of Second Order, 2nd ed., Springer-Verlag, 1983.
5. [5] Lieberman G., Local estimates for subsolutions and supersolutions of oblique derivative problems for general second order elliptic equations, Trans. Amer. Math. Soc. 304 (1987) 343-353.
6. [6] Maugeri A., Palagachev D.K., Boundary value problem with an oblique derivative for uniformly ellptic operators with discontinuous coefficients, Forum Math. 10 (1998) 393-405.
7. [7] Popivanov P.R., Palagachev D.K., The Degenerate Oblique Derivative Problem for Elliptic and Parabolic Equations, Akademie-Verlag, Berlin, 1997.
8. [8] Sarason D., Functions of vanishing mean oscillation, Trans. Amer. Math. Soc. 207 (1975) 391-405.
9. [9] Taira K., Diffusion Processes and Partial Differential Equations, Academic Press Inc., London, 1988.
10. [10] Trudinger N.S., Nonlinear Second Order Elliptic Equations, Lec. Notes of Math. Inst. of Nankai Univ., Tianjin, China, 1986.