UID:
almafu_9959245798402883
Format:
1 online resource (204 p.)
ISBN:
3-11-031542-4
Series Statement:
De Gruyter Studies in Mathematics ; 55
Content:
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.
Note:
Description based upon print version of record.
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Front matter --
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Contents --
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Notations --
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1. Introduction --
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Part I --
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2. Some fixed point theorems --
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3. Preliminaries of real analysis --
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4. Linear and semilinear elliptic equations --
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5. Nonlinear elliptic equations --
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6. Summability of the solutions --
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7. H2 regularity for linear problems --
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8. Spectral analysis for linear operators --
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9. Calculus of variations and Euler's equation --
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Part II --
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10. Natural growth problems --
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11. Problems with low summable sources --
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12. Uniqueness --
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13. A problem with polynomial growth --
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14. A problem with degenerate coercivity --
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Bibliography --
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Index
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Issued also in print.
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English
Additional Edition:
ISBN 3-11-031540-8
Language:
English
Subjects:
Mathematics
DOI:
10.1515/9783110315424
