Direct Methods in the Theory of Elliptic Equations

• Main Author: Nečas, Jindřich (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2012.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; Functional analysis.; Partial differential equations.; Partial Differential Equations.; Functional Analysis.

Nečas’ book Direct Methods in the Theory of Elliptic Equations, published 1967 in French, has become a standard reference for the mathematical theory of linear elliptic equations and systems. This English edition, translated by G. Tronel and A. Kufner, presents Nečas’ work essentially in the form it...

Table of Contents:

• 1.Introduction to the problem
• 2.Sobolev spaces
• 3.Exitence, Uniqueness of basic problems
• 4.Regularity of solution
• 5.Applications of Rellich’s inequalities and generalization to boundary value problems
• 6.Sobolev spaces with weights and applications to the boundary value problems
• 7.Regularity of solutions in case of irregular domains and elliptic problems with variable coefficients.