Lectures on elliptic partial differential equations /
General Material Designation
[Book]
First Statement of Responsibility
Luigi Ambrosio, Alessandro Carlotto, Annalisa Massaccesi.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Pisa :
Name of Publisher, Distributor, etc.
Edizioni della Normale,
Date of Publication, Distribution, etc.
2018.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource (x, 230 pages)
SERIES
Series Title
Appunti ;
Volume Designation
18
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index.
CONTENTS NOTE
Text of Note
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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SUMMARY OR ABSTRACT
Text of Note
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.