Interior Estimates in Morrey Spaces for Strong Solutions to Nondivergence Form Equations with Discontinuous Coefficients

Global Morrey Regularity of Strong Solut

Global Morrey Regularity of Strong Solutions to the Dirichlet Problem for Elliptic Equations with Discontinuous Coefficients

✍ Giuseppe Di Fazio; Dian K. Palagachev; Maria Alessandra Ragusa 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 159 KB

Well-posedness is proved in the space W 2, p, \* (0) & W 1, p 0 (0) for the Dirichlet problem u=0 a.e. in 0 on 0 if the principal coefficients a ij (x) of the uniformly elliptic operator belong to VMO & L (0). 1999 Academic Press 1. INTRODUCTION In the last thirty years a number of papers have bee