Umfang:
Online-Ressource
ISBN:
9783642109263
Serie:
C.I.M.E. Summer Schools 17
Inhalt:
This book includes: L. Nirenberg: On ellliptic partial differential equations; S. Agmon: The Lp approach to the Dirichlet problems; C.B. Morrey, Jr.: Multiple integral problems in the calculus of variations and related topics; and L. Bers: Uniformizzazione e moduli
Anmerkung:
Description based upon print version of record
,
il principio di minimo e sue applicazioni alle equazioni funzionali; Copyright Page; Contents; On Elliptic Partial Differential Equations; Outline; Lecture I. The Fundamental Solution; Lecture II. Calculus Inequalities; Lecture III. The Dirichlet Problem; Lecture IV. A Priorl Estimates; Lecture V. The Differentiability of Weak Solutions of Elliptic Equations; Lecture VI. Proof of the Differelltiability Theorem; Lecture VII. A Priori Estimates Near the Boundary; Lecture VIII. The Boundary Value Problem in a Half Space; The Poisson Kernels; Bibliography
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The Lp Approach to The Dirichlet Problem(*)1. Introduction; 2. Notations and deflnitions; 3. Calculus and properties of the classes (Image); 4. Some lemmas related to elliptic operators with eonstant coefficients; 5. Preliminary regularity lemmas; 6. The brisic regularity theoretns; 7. The interior regularity in Lp of weak solutions of elliptic equntions and overdeternlirled systems; 8. Regularity at the boundary; Bibliography I; Multiple Integral Problems in the Calculus of Variations and Related Topics; Introduction; Chapter I Function of Class (Image) and functions which are ACT
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Chapter II Lower-semicontinuity and existence theorems for a class of multiple integral problemsChapter III Quasi-convexity and lower-semicontinuity; Chapter IV The differentiability of the solutions of certain variational problems with y=2; Chapter V A variational method in the theory of harmonie integrals; Bibliography; Uniformizzazione e Moduli(*); 1. Enunciato del teorema fondamentale; 2. Osservazini; 3. Un nuovo teorema di uniformizzazione; Bibliograpia;
Sprache:
Englisch
Schlagwort(e):
Electronic books
