Fine Regularity of Solutions of Elliptic Partial Differential Equations (Mathematical Surveys & Monographs) - Hardcover

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Discusses the author's work concerning boundary regularity of weak solutions of second-order elliptic quasilinear equations in divergence form, demonstrating that weak solutions are continuous at the boundary if and only if a Wiener-type condition is satisfied. The work that accompanies this analysis includes the fine analysis of Sobolev spaces, a development of the associated nonlinear potential theory, a discussion of regularity of solutions of variational inequalities, and a chapter dedicated to the existence theory. Annotation c. by Book News, Inc., Portland, Or.

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