Second-order elliptic equations and systems of elliptic equations

Author: Chen Yazi
Publisher:
Publish Date: 2003-09-01
Features: This book is rich in content and appropriately selected materials, making it an excellent graduate-level textbook. It is suitable for university mathematics students, graduate students, teachers, and relevant scientific workers. This book is based on the lecture notes prepared by the author during the "Partial Differential Equations Year" activity held at Nankai Institute of Mathematics in 1985, incorporating new content from interviews with international experts at the time. The book is divided into two parts: Part I comprehensively introduces various priori estimate methods for Dirichlet problems of second-order elliptic equations, including new techniques that have emerged in recent years, and discusses the solvability of Dirichlet problems for linear equations, quasilinear equations, and fully nonlinear equations; Part H introduces the existence and regularity of weak solutions for Dirichlet problems of linear and nonlinear elliptic equations.