Palagachev, Dian K.Ragusa, Maria AlessandraSoftova, Lubomira G.2020-01-062020-01-062000-05-23Palagachev, D. K., Ragusa, M. A., & Softova, L. G. (2000). Regular oblique derivative problem in Morrey spaces. <i>Electronic Journal of Differential Equations, 2000</i>(39), pp. 1-17.1072-6691https://hdl.handle.net/10877/9133This article presents a study of the regular oblique derivative problem ∑ni,j=1 (x) ∂2u/ ∂xi∂xj = f(x) ∂u/ ∂ℓ(x) + σ(x)u = φ(x). Assuming that the coefficients aij belong to the Sarason's class of functions with vanishing mean oscillation, we show existence and global regularity of strong solutions in Morrey spaces.Text17 pages1 file (.pdf)enAttribution 4.0 InternationalUniformly elliptic operatorRegular oblique derivative problemMorrey spacesArticle