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Fine Regularity of Solutions of Elliptic Partial Differential Equations

William P. Ziemer

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The primary objective of this monograph is to give a comprehensive exposition of results surrounding the work of the authors concerning boundary regularity of weak solutions of second order elliptic quasilinear equations in divergence form. The book also contains a complete development of regularity of solutions of variational inequalities, including the double obstacle problem, where the obstacles are allowed to be discontinuous. The book concludes with a chapter devoted to the existence theory thus providing the reader with a complete treatment of the subject ranging from regularity of weak solutions to the existence of weak solutions.

Language: English

Pages: 291

Format: Hardcover

Publisher: American Mathematical Society(RI)

Release: January 01, 1997

ISBN: 0821803352

ISBN 13: 9780821803356

Fine Regularity of Solutions of Elliptic Partial Differential Equations

William P. Ziemer

0/5 ( ratings)

The primary objective of this monograph is to give a comprehensive exposition of results surrounding the work of the authors concerning boundary regularity of weak solutions of second order elliptic quasilinear equations in divergence form. The book also contains a complete development of regularity of solutions of variational inequalities, including the double obstacle problem, where the obstacles are allowed to be discontinuous. The book concludes with a chapter devoted to the existence theory thus providing the reader with a complete treatment of the subject ranging from regularity of weak solutions to the existence of weak solutions.

Language: English

Pages: 291

Format: Hardcover

Publisher: American Mathematical Society(RI)

Release: January 01, 1997

ISBN: 0821803352

ISBN 13: 9780821803356

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