Elliptic Partial Differential Equations : : Existence and Regularity of Distributional Solutions /

Elliptic Partial Differential Equations : : Existence and Regularity of Distributional Solutions / / Lucio Boccardo, Gisella Croce.

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Elliptic partial differential equations is one of the main and most active areas in mathematics. This book is devoted to the study of linear and nonlinear elliptic problems in divergence form, with the aim of providing classical results, as well as more recent developments about distributional solut...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package
VerfasserIn:
Boccardo, Lucio,
Croce, Gisella,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2013]
©2013
Year of Publication:2013
Language:English
Series:De Gruyter Studies in Mathematics , 55
Online Access:
Physical Description:1 online resource (192 p.)
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Table of Contents:
  • Frontmatter
  • Contents
  • Notations
  • 1. Introduction
  • Part I
  • 2. Some fixed point theorems
  • 3. Preliminaries of real analysis
  • 4. Linear and semilinear elliptic equations
  • 5. Nonlinear elliptic equations
  • 6. Summability of the solutions
  • 7. H2 regularity for linear problems
  • 8. Spectral analysis for linear operators
  • 9. Calculus of variations and Euler’s equation
  • Part II
  • 10. Natural growth problems
  • 11. Problems with low summable sources
  • 12. Uniqueness
  • 13. A problem with polynomial growth
  • 14. A problem with degenerate coercivity
  • Bibliography
  • Index

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