Lectures on elliptic partial differential equations
著者
書誌事項
Lectures on elliptic partial differential equations
（Appunti / Scuola normale superiore, 18）
Edizioni della Normale, c2018
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注記
Includes bibliographical references (p. [213]-220) and index
内容説明・目次
内容説明
The book originates from the Elliptic PDE course given by the first author at the Scuola Normale Superiore in recent years. It covers the most classical aspects of the theory of Elliptic Partial Differential Equations and Calculus of Variations, including also more recent developments on partial regularity for systems and the theory of viscosity solutions.
目次
Variational aspects of some classes of elliptic problems.- Classical regularity theory for linear problems.- Interior regularity for nonlinear equations.- Regularity for systems.- Viscosity solutions.- Appendices - A. Some basic facts concerning Sobolev spaces.- B. Miscellaneous results in real and harmonic analysis.- C. Hausdorff measures.- D. Some tools from convex and nonsmooth analysis.
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