D. E. Apushkinskaya, A. I. Nazarov, “On the quasilinear stationary Ventzel boundary-value problem”, Zap. Nauchn. Sem. POMI, 1995, Volume 221,Pages <nobr>20

This article is cited in 4 papers

On the quasilinear stationary Ventzel boundary-value problem

D. E. Apushkinskaya^a, A. I. Nazarov^b

^a St. Petersburg State University of Architecture and Civil Engineering
^b Saint-Petersburg State University

Abstract: A priori estimates for gradients of solutions of a boundary-value problem for a quasilinear nondivergent elliptic equation with the quasilinear Ventzel boundary condition are established. By these estimates, ezistenee theorems in the Hölder and Sobolev spaces are proved. Bibliography: 11 titles.

UDC: 517.9

Received: 20.01.1995