02859nam 22005415 450 991030966210332120200701225354.088-7642-651-510.1007/978-88-7642-651-3(CKB)4100000007463666(DE-He213)978-88-7642-651-3(MiAaPQ)EBC6310564(PPN)233799311(EXLCZ)99410000000746366620190110d2018 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierLectures on Elliptic Partial Differential Equations /by Luigi Ambrosio, Alessandro Carlotto, Annalisa Massaccesi1st ed. 2018.Pisa :Scuola Normale Superiore :Imprint: Edizioni della Normale,2018.1 online resource (X, 230 p.) Lecture Notes (Scuola Normale Superiore) ;1888-7642-650-7 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.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.Lecture Notes (Scuola Normale Superiore) ;18Partial differential equationsCalculus of variationsPartial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Calculus of Variations and Optimal Control; Optimizationhttps://scigraph.springernature.com/ontologies/product-market-codes/M26016Partial differential equations.Calculus of variations.Partial Differential Equations.Calculus of Variations and Optimal Control; Optimization.515.353Ambrosio Luigiauthttp://id.loc.gov/vocabulary/relators/aut44009Carlotto Alessandroauthttp://id.loc.gov/vocabulary/relators/autMassaccesi Annalisaauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910309662103321Lectures on Elliptic Partial Differential Equations2017432UNINA