Strong solvability in Sobolev spaces W-2,W-p(Omega) is proved for the regular oblique derivative problem for second order uniformly elliptic operators with VMO-principal coefficients. The results are applied to the study of degenerate (tangential) oblique derivative problem in the case of neutral vector field on the boundary.
Oblique derivative problem for uniformly elliptic operators with VMO coefficients and applications / Maugeri, A; Palagachev, Dk; Vitanza, C. - In: COMPTES RENDUS DE L'ACADÉMIE DES SCIENCES. SÉRIE 1, MATHÉMATIQUE. - ISSN 0764-4442. - STAMPA. - 327:1(1998), pp. 53-58. [10.1016/S0764-4442(98)80102-X]
Oblique derivative problem for uniformly elliptic operators with VMO coefficients and applications
Palagachev, DK;
1998-01-01
Abstract
Strong solvability in Sobolev spaces W-2,W-p(Omega) is proved for the regular oblique derivative problem for second order uniformly elliptic operators with VMO-principal coefficients. The results are applied to the study of degenerate (tangential) oblique derivative problem in the case of neutral vector field on the boundary.File in questo prodotto:
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