Memoirs of the American Mathematical Society 1993; 66 pp; softcover Volume: 105 ISBN10: 0821825631 ISBN13: 9780821825631 List Price: US$31 Individual Members: US$18.60 Institutional Members: US$24.80 Order Code: MEMO/105/501
 The aim of this work is to develop a basic theory for nonlinear elliptic equations on long or thin domains for Dirichlet boundary conditions. This is the first treatment of such Dirichlet problems, which are of significant interest in applications. Readership Nonlinear partial differential equations experts and nonlinear analysts. Table of Contents  Introduction
 Limits of solutions on long bounded domains
 Construction of solutions from approximate solutions
 The end equation
 On the unstable solutions
 Some examples
 References
