This volume is based on PDE courses given by the authors at the
Courant Institute and at the University of Notre Dame, Indiana.
Presented are basic methods for obtaining various a priori
estimates for second-order equations of elliptic type with
particular emphasis on maximal principles, Harnack inequalities,
and their applications. The equations considered in the book are
linear; however, the presented methods also apply to nonlinear
problems. This second edition has been thoroughly revised and in a
new chapter the authors discuss several methods for proving the
existence of solutions of primarily the Dirichlet problem for
various types of elliptic equations.
General
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