These two volumes present the collected works of James Serrin. He did
seminal work on a number of the basic tools needed for the study of
solutions of partial differential equations. Many of them have been and
are being applied to solving problems in science and engineering. Among
the areas which he studied are maximum principle methods and related
phenomena such as Harnack's inequality, the compact support principle,
dead cores and bursts, free boundary problems, phase transitions, the
symmetry of solutions, boundary layer theory, singularities and fine
regularity properties. The volumes include commentaries by leading
mathematicians to indicate the significance of the articles and to
discuss further developments along the lines of these articles.