Elliptic Boundary Value Problems of Second Order in Piecewise Smooth Domains

Abstract

Introduction. 1. Preliminaries. 2. Integral inequalities. 3. The Laplace operator. 4. Strong solutions of the Dirichlet problem for linear equations. 5. The Dirichlet problem for elliptic linear. divergent equations in a nonsmooth domain. 6. The Dirichlet problem for semilinear equations in a conical domain. 7. Strong solutions of the Dirichlet problem for nondivergence quasilinear equations. 8. Weak solutions of the Dirichlet problem for elliptic divergence form quasilinear equations. 9. The behavior of weak solutions to the boundary value problems for elliptic quasilinear equations with triple degeneration in a neighborhood of a boundary edge. 10. Sharp estimates of solutions to the Robin. boundary value problem for elliptic non divergence second order equations in a neighborhood of the conical point. Bibliography. Notation Index. Index.