معادلات بیضوی مرتبه دوم و سیستم‌های بیضوی (ترجمه‌های مونوگراف‌های ریاضی)

The first part of this book presents a complete introduction of various kinds of a priori estimate methods for the Dirichlet problem of second order elliptic partial differential equations are completely introduced. In the second part, the existence and regularity theory of the Dirichlet problem for linear and nonlinear second order elliptic partial differential systems are introduced. The book features appropriate materials and is an excellent textbook for graduate students. This book is intended for students, research mathematicians, physicists and engineers interested in partial differential equation theories. There are two parts to the book. In the first part, a complete introduction of various kinds of a priori estimate methods for the Dirichlet problem of second order elliptic partial differential equations is presented. In the second part, the existence and regularity theories of the Dirichlet problem for linear and nonlinear second order elliptic partial differential systems are introduced. The book features appropriate materials and is an excellent textbook for graduate students. The volume is also useful as a reference source for undergraduate mathematics majors, graduate students, professors, and scientists. This text introduces various kinds of priori estimate methods for the Dirichlet problem of second order elliptic partial differential equations. It also looks at the existence and regularity theory of the Dirichlet problem for linear and nonlinear second order elliptic partial equations.