A class of weighted function spaces, and intermediate Caccioppoli- Schauder estimates. (English) Zbl 0696.35016

Troianiello, Giovanni M.

Journ. Équ. Dériv. Partielles, St.-Jean-De-Monts 1988, Exp. No. 9, 7 p. (1988).

This paper is devoted to the classical question of Schauder type estimates for solution of second-order, linear uniformly elliptic equations with boundary conditions. It extends slightly by a different approach some results of Gilbarg and Trudinger concerning weighted estimates involving the distance to the boundary.

Reviewer: P.-L.Lions

MSC:

35B45	A priori estimates in context of PDEs
35J25	Boundary value problems for second-order elliptic equations

Keywords:

Schauder type estimates; uniformly elliptic