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

• 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
• Physical Description: 1 online resource (192 p.)
• Other title: 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
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110315424; 9783110494938; 9783110238570; 9783110238471; 9783110637205; 9783110317350; 9783110317282; 9783110317275
• ISSN: 0179-0986
• DOI: 10.1515/9783110315424
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Lucio Boccardo, Gisella Croce.

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 solutions. For this reason this monograph is addressed to master's students, PhD students and anyone who wants to begin research in this mathematical field.