UID:
almafu_9958354165002883
Format:
1 online resource(ix,192p.) :
,
illustrations.
Edition:
Electronic reproduction. Berlin/Boston : De Gruyter. Mode of access: World Wide Web.
Edition:
System requirements: Web browser.
Edition:
Access may be restricted to users at subscribing institutions.
ISBN:
9783110315424
Series Statement:
De Gruyter Studies in Mathematics; 55
Content:
Elliptic partial differential equations is one of the main and most active areas in mathematics. In our book we study 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 the book is addressed to master's students, PhD students and anyone who wants to begin research in this mathematical field.
Note:
Frontmatter --
,
Contents --
,
Notations --
,
1. Introduction --
,
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 --
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10. Natural growth problems --
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11. Problems with low summable sources --
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12. Uniqueness --
,
13. A problem with polynomial growth --
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14. A problem with degenerate coercivity --
,
Bibliography --
,
Index.
,
Also available in print edition.
,
In English.
Additional Edition:
ISBN 9783110315400
Additional Edition:
ISBN 9783110315431
Language:
English
Subjects:
Mathematics
DOI:
10.1515/9783110315424
URL:
https://doi.org/10.1515/9783110315424
URL:
https://doi.org/10.1515/9783110315424
URL:
https://www.degruyter.com/isbn/9783110315424
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