Nonlinear Elliptic Partial Differential Equations An Introduction /

• Κύριος συγγραφέας: Le Dret, Hervé (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Έκδοση: 1st ed. 2018.
• Σειρά: Universitext,
• Θέματα: Partial differential equations.; Calculus of variations.; Functional analysis.; Partial Differential Equations.; Calculus of Variations and Optimal Control; Optimization.; Functional Analysis.

This textbook presents the essential parts of the modern theory of nonlinear partial differential equations, including the calculus of variations. After a short review of results in real and functional analysis, the author introduces the main mathematical techniques for solving both semilinear and q...

Πίνακας περιεχομένων:

• 1 A brief review of real and functional analysis
• 2 Fixed point theorems and applications
• 3 Superposition operators
• 4 The Galerkin method
• 5 The maximum principle, elliptic regularity, and applications
• 6 Calculus of variations and quasilinear problems
• 7 Calculus of variations and critical points
• 8 Monotone operators and variational inequalities
• References
• Index.