Lectures on Elliptic Partial Differential Equations

• Κύριοι συγγραφείς: Ambrosio, Luigi (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Carlotto, Alessandro (http://id.loc.gov/vocabulary/relators/aut), Massaccesi, Annalisa (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Pisa : Scuola Normale Superiore : Imprint: Edizioni della Normale, 2018.
• Έκδοση: 1st ed. 2018.
• Σειρά: Lecture Notes (Scuola Normale Superiore) ; 18
• Θέματα: Partial differential equations.; Calculus of variations.; Partial Differential Equations.; Calculus of Variations and Optimal Control; Optimization.

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 reg...

Πίνακας περιεχομένων:

• 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.