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Fine Regularity of Solutions of Elliptic Partial Differential Equations

Fine Regularity of Solutions of Elliptic Partial Differential Equations PDF Author: Jan Malý
Publisher: American Mathematical Soc.
ISBN: 0821803352
Category : Mathematics
Languages : en
Pages : 309

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Book Description
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.